New Mathematics and Natural Computation
Journal Prestige (SJR): 0.175 Number of Followers: 1 Hybrid journal (It can contain Open Access articles) ISSN (Print) 17930057  ISSN (Online) 17937027 Published by World Scientific [120 journals] 
 Construction of hyperbolic fuzzy set and its applications in diverse
COVID19 associated problems
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Authors: Palash Dutta, Gourangajit Borah
Pages: 1  72
Abstract: New Mathematics and Natural Computation, Ahead of Print.
This paper’s core objective is to introduce a novel notion called hyperbolic fuzzy set (HFS) where, the grades follow the stipulation that the product of optimistic and pessimistic degree must be less than or equal to one (1), rather than their sum not exceeding one (1) as in case of IFSs. The concept of HFS originates from a hyperbola, which provides extreme flexibility to the decision makers in the representation of vague and imprecise information. It is observed that IFSs, Pythagorean fuzzy sets (PFSs), and qrung orthopair fuzzy sets (QROFSs) often failed to express the uncertain information properly under some specific situations, while HFS tends to overcome such limitations by being applicable under those perplexed situations too. In this paper, we first define some basic operational laws and few desirable properties of HFSs. Second, we define a novel score function, accuracy function, and also establish some of their properties. Third, a novel similarity and distance measure is proposed for HFSs that are capable of distinguishing between different physical objects or alternatives based on the grounds of “similitude degree” and “farness coefficient”, respectively. Later, the advantages of all of these newly defined measures have been showcased by performing a meticulous comparative analysis. Finally, these measures have been successfully applied in various COVID19 associated problems such as medical decisionmaking, antivirus facemask selection, efficient sanitizer selections, and effective medicine selection for COVID19. The final results obtained with our newly defined measures comply with several other existing methods that we considered and the decision strategy adopted is simple, logical, and efficient. The significant findings of this study are certain to aid the healthcare department and other frontline workers to take necessary measures to reduce the intensity of the coronavirus transmission, so that we can hopefully progress toward the end of this ruthless pandemic.
Citation: New Mathematics and Natural Computation
PubDate: 20220429T07:00:00Z
DOI: 10.1142/S1793005723500072

 [math]Fuzzy Operator Norm

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Authors: S. Chatterjee, T. Bag
Pages: 1  23
Abstract: New Mathematics and Natural Computation, Ahead of Print.
In our previous paper, it is shown that topology of [math]fuzzy normed linear space is generated by two types of open balls: one is elliptic and the other is circular. In the theoretical aspect of functional analysis, will this type of exception happen or not' To address this problem in this paper, firstly, [math]fuzzy bounded linear operators as well as [math]fuzzy bounded linear functionals are defined which are the key elements of functional analysis. Then, operator [math]fuzzy norms are introduced for both the cases using the idea of quasi[math]norm family. The definition of operator [math]fuzzy norm is quite different from the existing operator fuzzy norm. Completeness of operator [math]fuzzy norm is investigated. Lastly, HahnBanach theorem in [math]fuzzy setting is studied using all the above concepts.
Citation: New Mathematics and Natural Computation
PubDate: 20220429T07:00:00Z
DOI: 10.1142/S1793005723500102

 New Techniques for Solutions of Fuzzy Volterra Integral Equations via Soft
SetValued Maps
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Authors: Mohammed Shehu Shagari, Akbar Azam
Pages: 1  20
Abstract: New Mathematics and Natural Computation, Ahead of Print.
In this paper, new generalized concepts of setvalued maps under the name soft setvalued maps are established. The presented results herein are soft set extensions of various existing fuzzy setvalued and crisp multivalued fixed point theorems. Examples are provided to authenticate the hypotheses of our obtained results. Moreover, our main result is applied to establish conditions for existence of solutions to fuzzy Volterra integral equations.
Citation: New Mathematics and Natural Computation
PubDate: 20220429T07:00:00Z
DOI: 10.1142/S1793005723500114

 Semigroups with Soft ACIdeals

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Authors: Şeri̇f Özlü, Aslihan Sezgi̇n
Pages: 1  27
Abstract: New Mathematics and Natural Computation, Ahead of Print.
In this paper, we define the concepts of soft anticovered semigroup, soft anticovered left (right) ideal, soft anticovered interior ideal, soft anticovered (generalized) biideal, soft anticovered quasiideal of a semigroup. We investigate their properties by various examples. Moreover, we focus on the interrelations of them. We construct a new approach to anticovered ideals of a semigroup via soft set theory.
Citation: New Mathematics and Natural Computation
PubDate: 20220429T07:00:00Z
DOI: 10.1142/S1793005723500138

 Soft bConnected Mapping in Soft Topology

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Authors: Alpa Singh Rajput, S. S. Thakur
Pages: 1  14
Abstract: New Mathematics and Natural Computation, Ahead of Print.
In this paper, we introduce the concepts of soft bconnectedness between soft sets and soft set bconnected mapping in soft topological spaces. We showed that the concept of bconnectedness between soft sets is stronger than that of semiconnectedness between soft sets and preconnectedness between soft sets. Further some of its properties and characterizations of soft bconnectedness between soft sets and soft set bconnected mapping are established.
Citation: New Mathematics and Natural Computation
PubDate: 20220429T07:00:00Z
DOI: 10.1142/S1793005723500151

 Soft Semigraphs and Some of Their Operations

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Authors: Bobin George, Rajesh K. Thumbakara, Jinta Jose
Pages: 1  17
Abstract: New Mathematics and Natural Computation, Ahead of Print.
Semigraph is a generalization of graph introduced by E. Sampathkumar which is different from hypergraph. In 1999, D. Molodtsov initiated the novel concept of soft set theory. This is an approach for modeling vagueness and uncertainty. It is a classification of elements of the universe with respect to some given set of parameters. The concept of soft graph introduced by Rajesh K. Thumbakara and Bobin George is used to provide a parameterized point of view for graphs. Theory of soft graphs is a fast developing area in graph theory due to its capability to deal with the parameterization tool. In this paper, we introduce the concepts of soft semigraph by applying the concept of soft set in semigraph. Also we introduce some operations on soft semigraphs and investigate some of their properties.
Citation: New Mathematics and Natural Computation
PubDate: 20220418T07:00:00Z
DOI: 10.1142/S1793005723500126

 A Novel Learning Approach for Different Profile Shapes of
Convecting–Radiating Fins Based on Shifted Gegenbauer LSSVM
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Authors: Elyas Shivanian, Zeinab Hajimohammadi, Fatemeh Baharifard, Kourosh Parand, Ramin Kazemi
Pages: 1  21
Abstract: New Mathematics and Natural Computation, Ahead of Print.
The purpose of this paper is to introduce a novel learning approach to solve the heat transfer problem from convectingradiating fin model. This model is a nonlinear differential equation in which different boundary conditions cause different profile shapes including rectangular, triangular, trapezoidal and concave parabolic. We consider onedimensional, steady conduction in the fin and neglect radiative exchange between adjacent fins and between the fin and its primary surface. Our method is based on using the quasilinearization method to linearize the nonlinear models and applying shifted Gegenbauer polynomials as new kernel in least squares support vector machines method. The results of fin efficiency and heat transfer rate of the problems which compared with available previous results indicate better efficiency and accuracy of the proposed approach.
Citation: New Mathematics and Natural Computation
PubDate: 20220409T07:00:00Z
DOI: 10.1142/S1793005723500060

 A Note on Ideals of Gamma Nearness Rings

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Authors: Mehmet Ali Öztürk, Özlem Tekin
Pages: 1  17
Abstract: New Mathematics and Natural Computation, Ahead of Print.
The aim of this paper is to study the notion of ideals in gamma rings on weak nearness approximation spaces and explain some of the concepts and definitions. Also, an example is given related to the subject. The features described in this study will contribute greatly to the theoretical development of the gamma nearness rings theory. We defined that upper nearness ideal generated by a subset of the ring on weak nearness approximation spaces and introduce some properties of these ideals. In addition to this, prime nearness ideals and maximal nearness ideals of the gamma nearness rings are defined and some properties of these ideals are introduced.
Citation: New Mathematics and Natural Computation
PubDate: 20220407T07:00:00Z
DOI: 10.1142/S179300572350014X

 Hybrid Ideals in an AGGroupoid

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Authors: K. Porselvi, G. Muhiuddin, B. Elavarasan, Y. B. Jun, J. Catherine Grace John
Pages: 1  17
Abstract: New Mathematics and Natural Computation, Ahead of Print.
In general, models of universe problems in almost all fields, such as engineering, mathematics, medical sciences, computer science, physics, management sciences, artificial intelligence, and operations research, are practically full of complexities and include various types of uncertainties when dealing with them on numerous occasions. Different theories, such as probability, rough sets, fuzzy sets, soft ideals, and so on, have been created to deal with these uncertainties. An algebraic structure, AGgroupoid, is an intermediate structure between two types of structures: commutative semigroup and groupoid. This structure has a very close relationship to a commutative semigroup since a commutative AGgroupoid is always a semigroup. These structures have so many applications in flocks theory, geometry, topology, and many more. We explore several structural properties of an AGgroupoid by using hybrid structures in this paper. The main motivation behind this paper is to present the concepts of hybrid ideals, hybrid biideals and hybrid interior ideals of an AGgroupoid and characterize AGgroupoid in terms of hybrid structures. Also, we show that the hybrid intersection and hybrid product structures will coincide under certain conditions.
Citation: New Mathematics and Natural Computation
PubDate: 20220405T07:00:00Z
DOI: 10.1142/S1793005723500084

 Clarifying Soft SemiSeparation Axioms Using the Concept of Soft Element

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Authors: Tuǧçe Aydın, Serdar Engi̇noǧlu, Ahmet Mollaoǧulları
Pages: 1  26
Abstract: New Mathematics and Natural Computation, Ahead of Print.
Recently, soft semiopen sets being a generalization of soft open sets and soft topological notions related to them have been studied. However, these studies have not tackled the concept of soft elements. To this end, we conduct a grounding study on soft semiopen sets and investigate soft topological notions through this concept. We then define soft semiseparation axioms in soft topological spaces on a soft set via soft elements. Moreover, we examine the relationships between these spaces and their subspaces. Afterward, we clarify the theoretical section of the study with presented examples and study the relationships between soft semiseparation axioms and soft separation axioms. Finally, we discuss the study’s contributions to the literature and the need for further research.
Citation: New Mathematics and Natural Computation
PubDate: 20220328T07:00:00Z
DOI: 10.1142/S1793005723500023

 On algebraic and topological aspects of [math]automata

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Authors: Mausam Kumari, Swati Yadav, Vijay K. Yadav, S. P. Tiwari
Pages: 1  22
Abstract: New Mathematics and Natural Computation, Ahead of Print.
This work is toward the study of theory of IFautomata based on residuated lattices ([math]automaton) and to use [math]topological concepts for study of algebraic concepts therein. We introduce the notion of [math]subsystems and strong [math]subsystems of an [math]automaton and show that these are precisely the [math]closed sets with respect to the [math]topologies introduced on stateset of an [math]automaton. Finally, we study the characterization of separated [math]subsystem for an [math]automaton.
Citation: New Mathematics and Natural Computation
PubDate: 20220328T07:00:00Z
DOI: 10.1142/S1793005723500035

 TwoDimensional Müntz–Legendre Wavelet Method for Fuzzy Hybrid
Differential Equations
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Authors: N. Shahryari, T. Allahviranloo, S. Abbasbandy
Pages: 1  21
Abstract: New Mathematics and Natural Computation, Ahead of Print.
In this paper, the fuzzy approximate solutions for the fuzzy Hybrid differential equation emphasizing the type of generalized Hukuhara differentiability of the solutions are obtained by using the twodimensional Müntz–Legendre wavelet method. To do this, the fuzzy Hybrid differential equation is transformed into a system of linear algebraic equations in a matrix form. Thus, by solving this system, the unknown coefficients are obtained. The convergence of the proposed method is established in detail. Numerical results reveal that the twodimensional Müntz–Legendre wavelet is very effective and convenient for solving the fuzzy Hybrid differential equation.
Citation: New Mathematics and Natural Computation
PubDate: 20220328T07:00:00Z
DOI: 10.1142/S1793005723500059

 Expansion and Reduction of Soft Sets and their Applications in Decision
Making
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Authors: Nam Çağman, Selim Eraslan
Pages: 1  18
Abstract: New Mathematics and Natural Computation, Ahead of Print.
In this study, we first define expansion and reduction of the soft sets that are based on the linguistic modifiers. By using these new notions, we then construct a decisionmaking method called soft reduction method, which selects a set of optimum alternatives. We finally present an example which shows that the methods can be successfully applied to many problems containing uncertainties.
Citation: New Mathematics and Natural Computation
PubDate: 20220328T07:00:00Z
DOI: 10.1142/S1793005723500096

 Domination numbers of inverse fuzzy graphs with application in
decisionmaking problems
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Authors: R. Almallah, R. A. Borzooei, Y. B. Jun
Pages: 1  24
Abstract: New Mathematics and Natural Computation, Ahead of Print.
Recently, in Borzooei et al. [Inverse fuzzy graphs with applications, to appear in New Mathematics and Natural Computation], we defined the concept of inverse fuzzy graph as a generalization of graph, which is able to answer some problems that graph theory and fuzzy graph theory cannot explain. Now, in this paper, we define the notions of dominating set, domination number and different kinds of dominating sets like strong, weak, total, independent and inverse dominating sets with their domination numbers in inverse fuzzy graphs. Then, we investigate the relations among different kinds of dominating numbers. Finally, we give an application in decision making for service buildings.
Citation: New Mathematics and Natural Computation
PubDate: 20220319T07:00:00Z
DOI: 10.1142/S179300572250003X

 An interval type2 fuzzy model of computing with words via interval type2
fuzzy finite rough automata with application in COVID19 deduction
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Authors: Swati Yadav, S. P. Tiwari, Mausam Kumari, Vijay K. Yadav
Pages: 1  41
Abstract: New Mathematics and Natural Computation, Ahead of Print.
Classical automata, fuzzy automata, and rough automata with input alphabets as numbers or symbols are formal computing models with values. Fuzzy automata and rough automata are computation models with uncertain or imprecise information about the next state and can only process the string of input symbols or numbers. To process words and propositions involved in natural languages, we need a computation model to model realworld problems by capturing the uncertainties involved in a word. In this paper, we have shown that computing with word methodology deals with perceptions rather than measurements and allows the use of words in place of numbers and symbols while describing the realworld problems together with interval type2 (IT2) fuzzy sets which have the capacity to capture uncertainties involved in word using its footprint of uncertainty. The rough set theory, which has potential of modeling vagueness in the imprecise and illdefined environment, introduces a computation model, namely, IT2 fuzzy rough finite automata, which is efficient to process uncertainties involved in words. Further, we have shown the application of introduced IT2 fuzzy finite rough automaton in the medical diagnosis of COVID19 patients.
Citation: New Mathematics and Natural Computation
PubDate: 20220319T07:00:00Z
DOI: 10.1142/S1793005722500053

 Complex Fuzzy Krasner Hyperrings

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Authors: M. Al Tahan, B. Davvaz
Pages: 1  14
Abstract: New Mathematics and Natural Computation, Ahead of Print.
There exist different kinds of hyperrings. If the addition [math] is a hyperoperation and the multiplication ⋅ is an ordinary operation, then we can consider an additive hyperring. A special case of this type is the Krasner hyperring. In this paper, we apply the concept of complex fuzzy sets to Krasner hyperrings, define their complex fuzzy hyperideals and identify their properties.
Citation: New Mathematics and Natural Computation
PubDate: 20220318T07:00:00Z
DOI: 10.1142/S1793005722500090

 On minimal realization of [math]languages: A categorical approach

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Authors: Sunny Verma, Swati Yadav, Vijay K. Yadav, S. P. Tiwari
Pages: 1  20
Abstract: New Mathematics and Natural Computation, Ahead of Print.
This work is toward application of categorical concept to produce a minimal [math]automaton for a given [math]language. The [math]equivalence relation over free monoid formed by a nonempty set together with categorical concepts is used for such construction.
Citation: New Mathematics and Natural Computation
PubDate: 20220318T07:00:00Z
DOI: 10.1142/S1793005723500047

 Study of Interval Type2 Fuzzy Singular IntegroDifferential Equation by
Using Collocation Method in Weighted Space
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Authors: Suvankar Biswas, Sandip Moi, Smita Pal
Pages: 1  33
Abstract: New Mathematics and Natural Computation, Ahead of Print.
This paper develops the numerical solution of interval type2 fuzzy singular integrodifferential equation. The theory of polynomial collocation method has been introduced to find the numerical solution of interval type2 fuzzy singular integrodifferential equation in different weighted spaces. The equation has been presented in operator form. It has been shown that the operators are bounded which are required for the convergence of the proposed method. Theorems and lemmas have been developed to show the convergence of our proposed method in type2 fuzzy environment. A numerical algorithm for the collocation method has been presented in the numerical section. A numerical example has been examined to show the validation of our proposed method. Different types of error analysis have been examined in the form of different types of tables and figures. Also, the comparison of different types of error analysis has been examined in different weighted space.
Citation: New Mathematics and Natural Computation
PubDate: 20220317T07:00:00Z
DOI: 10.1142/S1793005722500077

 Fuzzy Graph Cellular Automaton and Its Applications in Parking
Recommendations
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Authors: B. Praba, R. Saranya
Pages: 1  16
Abstract: New Mathematics and Natural Computation, Ahead of Print.
The scope of this paper is to make the best use of cellular automaton. It is important that they can simulate not just a discrete model but also used to solve practical problems. To stimulate the research in this field, we define Fuzzy Graph Cellular Automaton (FGCA) and classify the fuzzy rule matrix according to the rules of the cellular automaton. We also provide the details of the generations of FGCA. To cover the defined concept, the parking recommendations have been figured out to show the effective performance of the research. In this proposed model, the fuzzy neighbourhood function represents the possible cell to which the vehicle can moved so that an efficient parking management can be maintained. By using fuzzy graph cellular automaton in parking recommendations, the results are more accurate than the other models. A comparative analysis is also done. In parking recommendations, the possibility of the available parking space can be predicted appropriately using the defined concepts. The results are simulated with [math] coding in MATlab.
Citation: New Mathematics and Natural Computation
PubDate: 20220317T07:00:00Z
DOI: 10.1142/S1793005722500089

 Hybrid Interior Ideals in Ordered Semigroups

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Authors: K. Porselvi, B. Elavarasan, Y. B. Jun
Pages: 1  8
Abstract: New Mathematics and Natural Computation, Ahead of Print.
We are fully aware that an ordered semigroup has a very close relation with theoretical computer science, especially with the theory of pattern recognition, decision processes, artificial intelligence, information retrieval and so on. We are eager to introduce the new concepts of hybrid interior ideals and hybrid simple in an ordered semigroup in this paper. We discuss characteristic hybrid structures using ideals and interior ideals, and characterize ordered semigroup in terms of different hybrid ideal structures. Further, we establish the equivalent condition for an ordered semigroup to be simple.
Citation: New Mathematics and Natural Computation
PubDate: 20220316T07:00:00Z
DOI: 10.1142/S1793005722500016

 On the Search of Speculations

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Authors: Enric Trillas, Adolfo R. De Soto
Pages: 1  10
Abstract: New Mathematics and Natural Computation, Ahead of Print.
This paper concerns the internal structure of reasoning that, basically consisting in conjecturing and refuting, is too often identified with only deducing, abducing and refuting, that is, with just the deductive search of consequences, hypotheses and refutations. With such identification, it is forgotten that in addition to consequences and hypotheses, there is a third class of conjectures, speculations or proper guesses. Speculations are inferentially noncomparable, or orthogonal, with the premise, and generate creativity. It is presented a very simple formal view for the structure of Commonsense Reasoning, a mathematical model allowing to show the importance of speculations, and specially to start with its systematic computational search.
Citation: New Mathematics and Natural Computation
PubDate: 20220316T07:00:00Z
DOI: 10.1142/S1793005722500028

 Commutative, Engel and Solvable EQAlgebras

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Authors: Akbar Paad
Pages: 1  18
Abstract: New Mathematics and Natural Computation, Ahead of Print.
The main goal of this paper is to introduce commutative, Engel and solvable EQalgebras. To begin with, the notion of commutators of two elements in EQalgebras is introduced and several properties of them are obtained. In this paper, the notions of commutative, Engel and solvable EQalgebras are introduced and some of their properties are investigated. Specially, it is proved that any good EQalgebra is a 2Engel EQalgebra. In addition, the relation between fantastic filters and good commutative EQalgebras is investigated and it is proved that a filter [math] of good EQalgebra [math] is fantastic [math]⇔[math]the quotient EQalgebra [math] is commutative. Finally, it is proved that if an EQalgebra separated, then it is a commutative EQalgebra if and only if it is solvable if and only if it is a 1Engel EQalgebra.
Citation: New Mathematics and Natural Computation
PubDate: 20220316T07:00:00Z
DOI: 10.1142/S1793005722500041

 Topological Characterizations of Rough Set Theory Based on Quantum Logic

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Authors: Songsong Dai
Pages: 1  9
Abstract: New Mathematics and Natural Computation, Ahead of Print.
Rough set theory is a mathematical approach for dealing with uncertain and imperfect knowledge processing. This paper investigates rough sets based on quantum logic, i.e., orthomodular latticevalued logic. Some properties of the lower and upper approximations are proposed. Finally, some topological characterizations of the new rough set model are discussed.
Citation: New Mathematics and Natural Computation
PubDate: 20220316T07:00:00Z
DOI: 10.1142/S1793005722500065

 Graphs Based on Equality Algebras

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Authors: M. Aaly Kologani, G. Muhiuddin, R. A. Borzooei, G. R. Rezaei
Pages: 1  19
Abstract: New Mathematics and Natural Computation, Ahead of Print.
In this paper, we introduce new kinds of graphs based on equality algebras. First of all, by using the meet operation we define the notion of zero divisors on equality algebra and study related properties. Then we introduce a meet graph on equality algebra by using zero divisors. In addition, we investigate some conditions for a meet graph to be a complete, connected and a star graph. Also, by using the notion of filters in equality algebras, we define an equivalence relation on equality algebras and then by using the equivalence classes we introduce two kinds of graphs on them. Finally, conditions for a graph based on these classes to be connected, or bipartite, or complete, or planar or an outerplanar graph are provided.
Citation: New Mathematics and Natural Computation
PubDate: 20220308T08:00:00Z
DOI: 10.1142/S1793005722500491

 2Absorbing [math]Primary Intuitionistic Fuzzy Ideals of Commutative
Rings
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Authors: Serkan Onar, Erdogan Mehmet Özkan, Bayram Ali Ersoy, Kostaq Hila
Pages: 1  18
Abstract: New Mathematics and Natural Computation, Ahead of Print.
In this paper, we study the primary intuitionistic fuzzy ideal, the intuitionistic fuzzy ideal expansion and [math]primary intuitionistic fuzzy ideal which assemble prime intuitionistic fuzzy ideals and primary intuitionistic fuzzy ideals. Some properties of them are investigated. Also, we scrutinize the relationships of [math]primary intuitionistic fuzzy ideal and [math]primary ideal of a commutative ring [math]. Moreover, we give a fundamental result about correspondence theorem for [math]primary intuitionistic fuzzy ideals. Further, we introduce 2absorbing [math]primary intuitionistic fuzzy ideals which are the generalization of 2absorbing intuitionistic fuzzy ideals and 2absorbing primary intuitionistic fuzzy ideals. Some properties of them are obtained.
Citation: New Mathematics and Natural Computation
PubDate: 20220301T08:00:00Z
DOI: 10.1142/S1793005723500011

 Optimistic Ranking Pessimistic Ranking and Neutral Ranking of Generalized
Fuzzy Numbers Using the Integral Mean Value
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Authors: Seyed Majid Alavi
Pages: 1  15
Abstract: New Mathematics and Natural Computation, Ahead of Print.
Fuzzy numbers ranking methods are one of the important tools for decisionmakers in realworld problems. Often fuzzy numbers may not be normal, which are called generalized fuzzy numbers (Gfuzzy numbers). In this work, a simple and efficient method is given to rank fuzzy numbers. For every given Gfuzzy number we use interval arithmetic to assign two suitable intervals that are called pessimistic and optimistic expected ranking intervals, respectively. Since a decisionmaker may be optimistic, pessimistic, or neutral, we use an index to choose a point of these intervals to rank Gfuzzy numbers according to the point of view of decisionmakers. In this manner, our method can be used to rank all arbitrary Gfuzzy numbers without attention to certain cases. Some examples are given to compare the proposed method with other methods.
Citation: New Mathematics and Natural Computation
PubDate: 20220225T08:00:00Z
DOI: 10.1142/S179300572250048X

 Minimal Soft Topologies

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Authors: Zanyar A. Ameen, Samer Al Ghour
Pages: 1  13
Abstract: New Mathematics and Natural Computation, Ahead of Print.
A collection of all soft topologies over a fixed universe forms a complete lattice. One might ask: what will be the structure of minimal or maximal topologies in this lattice concerning specific topological properties' We know that the soft discrete topology is maximal soft [math]spaces, for [math], in terms of the given soft point theory. As a result, we find it interesting to study the construction of minimal soft [math] topologies. We show that the minimal soft [math] is a nested soft topology whose base is the complements of all soft point closures. The minimal soft [math] is the cofinite soft topology. The minimal soft [math] (respectively, [math]) is a soft topology in which each soft open (respectively, soft regular) filter base has only one adherent soft point and is convergent. Finally, the minimal soft [math] topologies are subclasses of soft compact topologies.
Citation: New Mathematics and Natural Computation
PubDate: 20220216T08:00:00Z
DOI: 10.1142/S1793005722500466

 On the Categorical Connections of [math]GFilter Spaces and a Galois
Correspondence with [math]Fuzzy PreProximity Spaces
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Authors: Merin Jose, Sunil C. Mathew
Pages: 1  17
Abstract: New Mathematics and Natural Computation, Ahead of Print.
The study examines the categorical connections of [math]Gfilters with [math]filters and [math]interior operators. Besides, the relationship between [math]Gfilters and [math]fuzzy preproximities is also explored. Indeed, the Galois correspondence between the categories of stratified [math]Gfilter spaces and [math]fuzzy preproximity spaces is revealed in this paper.
Citation: New Mathematics and Natural Computation
PubDate: 20220216T08:00:00Z
DOI: 10.1142/S1793005722500478

 On Rough Statistical Convergence of Complex Uncertain Sequences

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Authors: Shyamal Debnath, Bijoy Das
Pages: 1  17
Abstract: New Mathematics and Natural Computation, Ahead of Print.
Complex uncertain variables are measurable functions from an uncertainty space to the set of complex numbers and are used to model complex uncertain quantities. The main purpose of this paper is to introduce rough statistical convergence of complex uncertain sequences and study some convergence concepts namely rough statistical convergence in measure, rough [math]statistical convergence in measure, rough statistical convergence in mean, rough statistical converges in distribution of complex uncertain sequences and investigate some relationships between them.
Citation: New Mathematics and Natural Computation
PubDate: 20211231T08:00:00Z
DOI: 10.1142/S1793005722500454

 On Minimal Fuzzy Realization in Category Theoretic Setting

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Authors: Shailendra Singh, Amarjit Kaur Sahni, Jayanti Tripathi Pandey
Pages: 1  29
Abstract: New Mathematics and Natural Computation, Ahead of Print.
This paper aims to study the minimal fuzzy realization for a fuzzy language with membership values in a complete residuated lattice by using category theory. Specifically, we introduce the concept of a category [math], whose objectclass is complete transition residuated lattices corresponding to deterministic [math]semiautomata. We give the categorical characterization of reachability and observability maps for a given deterministic fuzzy automaton. In another direction, we demonstrate that the category [math] is a subcategory of the categories [math] of [math]coalgebras and [math] of [math]dialgebras. Also, we discuss the concept of bisimulation between [math]coalgebras. Next, we introduce a general theory of minimal fuzzy realization for a given fuzzy language in a category theory setting. Strikingly, we demonstrate that all minimal fuzzy realization for a given fuzzy language is one of a kind up to isomorphism.
Citation: New Mathematics and Natural Computation
PubDate: 20211223T08:00:00Z
DOI: 10.1142/S1793005722500429

 Retrieving the Missing Data From Incomplete Soft Set, Incomplete Fuzzy
Soft Set and Incomplete Intuitionistic Fuzzy Soft Set
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Authors: Julee Srivastava, Sudhir Maddheshiya
Pages: 1  11
Abstract: New Mathematics and Natural Computation, Ahead of Print.
Dealing with an incomplete information has been a major issue in the theory of soft sets. In this paper, we have presented an approach to deal with incomplete soft set, incomplete fuzzy soft set and incomplete intuitionistic fuzzy soft set. For this purpose, we have introduced the notion of distance between two objects (parameters) which will be used to compute the degree of interdependence between them. This approach will use the full information of known data and the relationships between them. Data filling converts an incomplete soft set into a complete one which makes the soft sets applicable not only to decision making but also to other fields.
Citation: New Mathematics and Natural Computation
PubDate: 20211222T08:00:00Z
DOI: 10.1142/S1793005722500430

 Cubic soft graphs with application in decision making

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Authors: M. Mohseni Takallo, F. Karazma, M. Aaly Kologani, R. A. Borzooei
Pages: 1  27
Abstract: New Mathematics and Natural Computation, Ahead of Print.
A graph structure is a useful tool in solving the combinatorial problems in different areas of computer science and computational intelligence systems. In this paper, we introduce the concept of cubic soft graph, complete cubic soft graph, (internal, external) cubic soft graphs and investigate some of their properties. Then we deal with fundamental operations, union, intersection, Cartesian product, composition of cubic soft graphs and illustrate these notions by several examples. We prove that cubic soft graphs under these operations are also a cubic soft graph. Finally, we describe an application of cubic soft graphs in decision making.
Citation: New Mathematics and Natural Computation
PubDate: 20211206T08:00:00Z
DOI: 10.1142/S1793005722500405

 On category of linear codes

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Authors: N. Keshavarzian, A. Borumand Saeid, A. Tehranian
Pages: 1  17
Abstract: New Mathematics and Natural Computation, Ahead of Print.
Recently, a number of researches studied relationship between codes and BCKalgebras, dealing with the category codes in a BCKalgebra have not been considered in earlier works. This paper investigates a code constructed by a BCKalgebra and also a BCKalgebra constructed based on code. The suggested rendered algorithm constructs the code based on BCKalgebra, the fixed dimension of this code is guaranteed by a BCKalgebra with some condition. We introduce the category of linear codes and denoted by LC. In addition, a subcategory of BCKalgebra is described and denoted by [math]. Finally, we prove that LC is equivalent to [math].
Citation: New Mathematics and Natural Computation
PubDate: 20211113T08:00:00Z
DOI: 10.1142/S1793005722500417

 Operations on intuitionistic fuzzy graphs

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Authors: John N. Mordeson, Sunil Mathew, G. Gayathri
Pages: 1  15
Abstract: New Mathematics and Natural Computation, Ahead of Print.
In this paper, we determine operations on intuitionistic fuzzy graphs. The purpose is to apply the results to the combination of human trafficking routes. However, we use arbitrary dual [math]norms and [math]conorms to form these combinations since they determine more accurate models than maximum and minimum. We illustrate our results by combining two human trafficking routes from Central America to the United States.
Citation: New Mathematics and Natural Computation
PubDate: 20211110T08:00:00Z
DOI: 10.1142/S1793005722500375

 Doubleframed soft set theory applied to AbelGrassmann’s
hypergroupoids
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Authors: Muhammad Izhar, Tariq Mahmood, Asghar Khan, Muhammad Farooq, Kostaq Hila
Pages: 1  23
Abstract: New Mathematics and Natural Computation, Ahead of Print.
In this paper, we apply the concept of doubleframed soft sets to AbelGrassmann’s hypergroupoids (AGhypergroupoids). We define doubleframed soft AGhypergroupoids (DFS AGhypergroupoids) and doubleframed soft left (respectively, right) (briefly DFSleft (respectively, DFSright)) hyperideals of AGhypergroupoids. It is shown that an idempotent DFSleft hyperideal is a DFShyperideal. Also a DFS right hyperideal becomes DFS hyperideal when pure left identity is adjoined to an AGhypergroupoid, but the converse is not true. We also discuss some properties of these hyperideals in regular AGhypergroupoids.
Citation: New Mathematics and Natural Computation
PubDate: 20211110T08:00:00Z
DOI: 10.1142/S1793005722500399

 Extended ideals in [math]algebras

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Authors: F. Forouzesh
Pages: 1  13
Abstract: New Mathematics and Natural Computation, Ahead of Print.
In this paper, we introduce the notion of extended of an ideal associated to a subset of an [math]algebra [math] and investigate the related properties. A characterization of this extended ideal is given. We show that [math] is stable ideal relative to [math] such that [math] if and only if [math] is chain [math]algebra. Finally, the class [math] of all stable ideals relative to [math] is also a complete Heyting algebra, for an [math]algebra [math].
Citation: New Mathematics and Natural Computation
PubDate: 20211106T07:00:00Z
DOI: 10.1142/S1793005722500284

 Near polygroups on nearness approximation spaces

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Authors: M. Mostafavi, B. Davvaz
Pages: 1  22
Abstract: New Mathematics and Natural Computation, Ahead of Print.
In this paper, we consider the problem of how to establish algebraic structures of near sets on nearness approximation spaces. Essentially, our approach is to define the near polygroup of all weak cosets by considering an hyperoperation on the set of all weak cosets. Afterwards, our aim is to study near homomorphism theorems on near polygroups, and investigate some characterizations of near polygroups.
Citation: New Mathematics and Natural Computation
PubDate: 20211106T07:00:00Z
DOI: 10.1142/S1793005722500302

 Soft group action from classical view point

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Authors: Sujay Goldar
Pages: 1  13
Abstract: New Mathematics and Natural Computation, Ahead of Print.
Soft set theory, proposed by Molodtsov, Soft set theory — First results, Computers and Mathematics with Applications 37(4/5) (1999) 19–31, has been regarded as an effective mathematical tool to deal with uncertainties. In this paper, we introduce the notion of the soft group action as a general group action and study their properties. Some interesting results and relation between soft group action and ordinary group action are studied. Also, Soft Stabilizer, Soft Centralizer and Soft Normalizer have been depicted.
Citation: New Mathematics and Natural Computation
PubDate: 20211106T07:00:00Z
DOI: 10.1142/S1793005722500314

 Robot selection problem via fuzzy TOPSIS method using novel distance and
similarity measure for generalized fuzzy numbers with unequal heights
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Authors: Palash Dutta, Gourangajit Borah
Pages: 1  46
Abstract: New Mathematics and Natural Computation, Ahead of Print.
Background: Mega multinational companies are highly dependent on robots to handle the maximum of their machinery workload, which significantly reduces human labor and saves valuable time as well. However, as vital as the role of robots is, a much more challenging task is its selection. Moreover, the robots need to be evaluated on the grounds of different specifications and their ease of handling, which results in a smooth and workefficient environment. Objective: The prime objective of this paper is to devise a fruitful decisionmaking model for a robot selection problem, which utilizes a multicriteria decisionmaking method known as Technique for Order Preference by Similarity to Ideal Solution (TOPSIS). The TOPSIS method is based on the newly defined distance measure involving generalized fuzzy numbers with unequal heights (GFNUHs). Methodology/Approach: At first, we define a novel distance measure based on the “expected value” and “variance” of GFNUHs, where both the parameters are evaluated with the help of the [math]cut method. We then also give the expression for the distancebased similarity measure and investigate some of their properties. Both the distance and the similarity measure(s) are then validated for their effectiveness through a hypothetical case study of pattern recognition. Moreover, we consider 10 different bunches of generalized fuzzy numbers (GFNs) and present a comparative study with the already established measures to establish the efficiency and superiority of our proposed measures. Finally, the distance measure is deployed in the TOPSIS method, which facilitates suitable robot selection by an automobile company. Findings/Results: A comparison of results for the proposed distance measure and the similarity measure with the existing ones is presented which proves that the proposed measure(s) are effective and usable. Novelty/Value: The evaluation of expected value and variance of GFNUHs with the help of [math]cut technique is a completely original idea showcased in this paper and its improved version of TOPSIS for GFNUHs as discussed shall add a new direction in the realm of decisionmaking.
Citation: New Mathematics and Natural Computation
PubDate: 20211106T07:00:00Z
DOI: 10.1142/S1793005722500338

 Fuzzy geometric spaces and transitivity of [math]relation on fuzzy
hypergroups
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Authors: R. Ameri, T. Nozari, M. Norouzi
Pages: 1  11
Abstract: New Mathematics and Natural Computation, Ahead of Print.
In this paper, the notion of a fuzzy geometric space is introduced. Some structures related to it are studied and connections of them are investigated. By using fuzzy blocks of a fuzzy geometric space, the concept of strongly transitivity of fuzzy geometric spaces is defined and studied. Finally, it is proved that the relation [math] is transitive on fuzzy hypergroups, by associating strongly transitivity fuzzy geometric spaces to fuzzy hypergroups.
Citation: New Mathematics and Natural Computation
PubDate: 20211106T07:00:00Z
DOI: 10.1142/S179300572250034X

 A Restricted MultiObjective Solid Transportation Problem with Budget

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Authors: Abhijit Baidya, Uttam Kumar Bera, Manoranjan Maiti
Pages: 1  27
Abstract: New Mathematics and Natural Computation, Ahead of Print.
This paper proposes a new concept in transportation problem in which if the negligible amount quantity is transported through a distribution center, then the decision maker (DM) cannot deliver that negligible amount quantity through the particular distribution center and the DM puts some restriction on transportation problem. Here, we develop six transportation models with budget at each destination, of which three models are without restriction and another three models are with restriction. Also, apart from source, demand and capacity constraints, an extra constraint on the total budget at each destination is also imposed. Here, all the parameters in Models 1 and 2 are crisp in nature and are solved in crisp environment, whereas all the parameters in Models 3–6 are interval type2 fuzzy and random in nature, respectively, and are solved in uncertain environment. To reduce Models 3–6 into its crisp equivalent, we use the expected value of fuzzy number and chance constraint programming technique, respectively. Weighted sum method is also used to give the preference of the objective function and a gradientbased optimization techniquegeneralized reduced gradient (GRG) method are applied and using LINGO13 software to get the optimal solutions. A numerical example is provided to illustrate the models and programming. Finally, a sensitivity analysis is presented for Models 1 and 2 with respect to the weight function.
Citation: New Mathematics and Natural Computation
PubDate: 20211030T07:00:00Z
DOI: 10.1142/S1793005722500363

 Study of fear effect on prey–predator model with Ivlevtype functional
response in fuzzy environment
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Authors: Soumya Das, Suvankar Biswas, Pritha Das
Pages: 1  31
Abstract: New Mathematics and Natural Computation, Ahead of Print.
A prey–predator model with Ivlevtype functional response and the fear effect on prey species by the predator have been considered for the first time in a crisp as well as fuzzy environment. The effects of fear have been investigated on the stability of the system. Granular function derivative concept has been used to do fuzzy mathematics. For the first time, proper model analysis, positivity, bounds and uniform persistence are studied for our proposed model in fuzzy environment. The conditions of stability of all coexisting equilibrium points and Hopf bifurcation analysis have also been studied in fuzzy environment. Analytical results have been justified by numerical simulation with proper table and graphical presentation in crisp and fuzzy environment both.
Citation: New Mathematics and Natural Computation
PubDate: 20211027T07:00:00Z
DOI: 10.1142/S1793005722500351

 Solving fractional fuzzy impulsive differential equations with uncertainty
by novel computational technique
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Authors: Nematallah Najafi, Tofigh Allahviranloo, Withold Pedrycz
Pages: 1  41
Abstract: New Mathematics and Natural Computation, Ahead of Print.
The aim of this paper is to utilize the fuzzy fractional generalized Taylor series for fuzzy fractional impulsive differential equations (FFIDE) with uncertainty in the sense for generalized Hukuhara differentiability. Then, for the FFIDE, the modified fuzzy fractional Euler technique (MFFET) is presented following the fuzzy fractional generalized Taylor series and its local and global truncation errors are defined. Furthermore, the consistency, convergence, and stability for this MFFET are provided in detail. The illustrative examples show that the above technique, owing to its usefulness and efficiency, is used for solving [math]thorder nonlinear FFIDES.
Citation: New Mathematics and Natural Computation
PubDate: 20211025T07:00:00Z
DOI: 10.1142/S1793005722500144

 On [math]valued GFA: An [math]valued operator oriented view with
tnorm/tconorm and implicators
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Authors: Kh. Abolpour
Pages: 1  20
Abstract: New Mathematics and Natural Computation, Ahead of Print.
This study aims at investigating [math]valued general fuzzy automata, for simplicity, [math]valued GFA, with respect to their algebraic properties and based on tnorm/tconorm and general implicators, where [math] stands for residuated lattice and [math] is a set of propositions about the GFA, in which its underlying structure is a complete infinitely distributive lattice. Specifically, we introduce the concepts of [math]valued operators with tnorm and [math]valued operators with tconorm. We also examine the relationships between the [math]valued operators with tnorm and [math]valued operators with tconorm. Finally, we introduce the concepts of [math]valued operators with implicator and study the relationships between the [math]valued operators with the implicator and the [math]valued operators with tnorm/tconorm. To clarify the notions and the results obtained in this study, some examples are submitted as well.
Citation: New Mathematics and Natural Computation
PubDate: 20211023T07:00:00Z
DOI: 10.1142/S1793005722500296

 Numerical method to solve a hybrid fuzzy conformable fractional
differential equations
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Authors: N. Shahryari, T. Allahviranloo, S. Abbasbandy
Pages: 1  27
Abstract: New Mathematics and Natural Computation, Ahead of Print.
This research introduces a new definition of fuzzy fractional derivative, fuzzy conformable fractional derivative, which is defined based on generalized Hukuhara differentiability. Namely, we investigate the Hybrid fuzzy fractional differential equation with the fuzzy conformable fractional generalized Hukuhara derivative. We establish that the Hybrid fuzzy fractional differential equation admits two fuzzy triangular solutions and prove that these fuzzy solutions are obtained together with a characterization of these solutions by two systems of fractional differential equations. We propose an adaptable numerical scheme for the approximation of the fuzzy triangular solutions. Numerical results reveal that the numerical method is convenient for solving the Hybrid fuzzy conformable fractional differential equation.
Citation: New Mathematics and Natural Computation
PubDate: 20211023T07:00:00Z
DOI: 10.1142/S1793005722500326

 Fundamental group of [math]valued general fuzzy automata

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Authors: Kh. Abolpour, A. Borumand Saeid
Pages: 1  14
Abstract: New Mathematics and Natural Computation, Ahead of Print.
This study aims to investigate [math]valued GFA from algebraic and topological perspectives, where [math] stands for residuated lattice and B is a set of propositions about the general fuzzy automata, in which its underlying structure is a complete infinitely distributive lattice. Further, the concepts of [math]valued general fuzzy automata (or simply [math]valued GFA) contractible spaces, [math]valued GFA path homotopy, [math]valued GFA retraction, [math]valued GFA deformation retraction, [math]valued GFA path connected space and [math]valued GFA homotopy equivalent space are introduced and explicated. In addition, [math]valued GFA fundamental groups are proposed and studied. Regarding these issues, some properties are also established and explained.
Citation: New Mathematics and Natural Computation
PubDate: 20211006T07:00:00Z
DOI: 10.1142/S1793005722500272

 Compositional rule of inference with a complex rule using Lukasiewicz
tnorm
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Authors: Nourelhouda Zerarka, Saoussen Bel Hadj Kacem, Moncef Tagina
Pages: 1  20
Abstract: New Mathematics and Natural Computation, Ahead of Print.
Inference systems are intelligent software performed generally to help people take appropriate decisions and solve problems in specific domains. Fuzzy inference systems are a kind of these systems that are based on fuzzy knowledge. To handle the fuzziness in the inference, the compositional rule of inference is used, which has two parameters: a tnorm and an implication operator. However, most of the combinations of tnorm/implication do not give an adequate inference result that coincides with human intuitions. This was the motivation for several works to study these combinations and to identify those that are compatible, in order to guarantee a performance close to that of humans. We are interested in this paper to a more general form of rules, which is complex rules, whose premise is a conjunction of propositions. To obtain the consequence in a fuzzy inference system using the compositional rule of inference with a complex rule, we study, in this work, Lukasiewicz tnorm which was not investigated before in this context. We combine it with known implications, and we verify the satisfaction of some criteria that model human intuitions.
Citation: New Mathematics and Natural Computation
PubDate: 20211002T07:00:00Z
DOI: 10.1142/S1793005722500260

 A new intervalvalued hesitant fuzzybased optimization method

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Authors: Shailendra Kumar Bharati
Pages: 1  26
Abstract: New Mathematics and Natural Computation, Ahead of Print.
An intervalvalued hesitant fuzzy set (IVHFS) is a best tool to address uncertainty and hesitation of a production planning problem (PPP) which appears in engineering, agriculture, and industrial sectors. Often, a PPP is formulated as a multiobjective linear programming problem (MOLPP) and therefore, it is very necessary to develop a suitable and realistic method to deal MOLPP with uncertainty and hesitation. In this paper, we define a set of possible intervalvalued hesitant fuzzy degrees for all objectives, and using this, a MOLPP is converted into a intervalvalued hesitant fuzzy linear programming (IVHFLPP). Further, we introduce a new optimization technique based on a new operation of IVHFS, and later it is implemented in a computational method to search a Pareto optimal solution of the considered problem. Further, a PPP is solved by using the proposed method and the result shows the superiority of the proposed computational method over the existing methods.
Citation: New Mathematics and Natural Computation
PubDate: 20210924T07:00:00Z
DOI: 10.1142/S1793005722500235

 Mathematical calculation of the COVID19 disease in Pakistan by emergency
response modeling based on intuitionistic fuzzy decision process
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Authors: Khaista Rahman
Pages: 1  41
Abstract: New Mathematics and Natural Computation, Ahead of Print.
The objective of this paper is to investigate three new methods to regulate and analyze the spreading of coronavirus disease (COVID19). COVID19 started in the city of Wuhan, China at the end of 2019 and spread to the whole world in a short time. This infection caused millions of infected cases globally and still poses a disturbing situation for the people. Recently, some mathematical models have been constructed for better understanding of the coronavirus infection. Mostly, these models are based on classical integerorder derivative using real numbers which cannot capture the fading memory. So, at the current position, it is a challenge for the world to control the spreading of COVID19. Therefore, the aim of this paper is to utilize fuzzy logic to control the transmission and spreading of COVID19. Here, we develop three new methods such as the generalized intervalvalued intuitionistic fuzzy Einstein weighted geometric (GIVIFEWG) operator, the generalized intervalvalued intuitionistic fuzzy Einstein ordered weighted geometric (GIVIFEOWG) operator, and the generalized intervalvalued intuitionistic fuzzy Einstein hybrid geometric (GIVIFEHG) operator. Intuitionistic fuzzy information for intervalvalued is the moral and decent method to precise the fuzzy information for judgment or decision and Einstein operations are the best approximations, and the generalized aggregation operators are a generalization of most aggregation operators so, in these notes, we can spread the Einstein operations to aggregate the intervalvalued intuitionistic fuzzy information based on the generalized aggregation operators. At the end of the paper, an illustration of the emergency situation of COVID19 is given for demonstrating the effectiveness of the suggested approach, showing the feasibility and reliability of the new methods.
Citation: New Mathematics and Natural Computation
PubDate: 20210922T07:00:00Z
DOI: 10.1142/S1793005722500211

 Soft topological group from classical view point and soft Borel measure

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Authors: Sujay Goldar, Subhasis Ray
Pages: 1  12
Abstract: New Mathematics and Natural Computation, Ahead of Print.
In this paper, we introduce the notion of the soft topological group as a general topological group of soft elements and study their properties. Some interesting results and relation between soft topological group and ordinary topological group of soft elements are studied. Also, soft Borel set and soft Borel measure have been depicted and the relationship between the soft Borel measure and the corresponding Borel measure has been drawn.
Citation: New Mathematics and Natural Computation
PubDate: 20210915T07:00:00Z
DOI: 10.1142/S1793005722500259

 On NearRings with Soft Union Ideals and Applications

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Authors: Aslihan Sezgi̇n, Akin Osman Atagün, Nai̇m Çağman, Hüseyi̇n Demi̇r
Pages: 1  17
Abstract: New Mathematics and Natural Computation, Ahead of Print.
In this paper, we define soft union nearring on a soft set by using soft sets, inclusion relation and union of sets. This new notion functions as a bridge among soft set theory, set theory and nearring theory. We then derive its basic properties and investigate the relationship between soft intersection nearring and soft union nearring. Furthermore, we obtain some analog of classical nearring theoretic concepts for soft union nearring and give the applications of soft union nearring to nearring theory.
Citation: New Mathematics and Natural Computation
PubDate: 20210911T07:00:00Z
DOI: 10.1142/S1793005722500247

 A new hesitant fuzzy rulebased system for ranking hydro power plant site
selection
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Authors: Biplab Singha, Mausumi Sen, Nidul Sinha, Dhiman Dutta
Pages: 1  19
Abstract: New Mathematics and Natural Computation, Ahead of Print.
Fuzzy set was introduced in 1965 by Prof. A. Lotfi Zadeh to deal with uncertainty. Fuzzy set is an important tool for solving real life problems. Similarly, hesitant fuzzy set is the extended tool of fuzzy set which plays an important role to deal with uncertainty, imprecision and vagueness more clearly and accurately. In this paper, hesitant fuzzy base rule system is proposed which is the extension of fuzzy base rule system. A new dimension of hesitant fuzzy set i.e. hesitant fuzzy membership line (HFML) is defined and the HFML is classified into different classes (Good, Fair, Poor) according to Quality Index Parameter (QIP) which is calculated by the expert only with the best of their knowledge. Also this paper consists of two newly defined operations AND and OR operations on hesitant fuzzy sets. The effective criteria like Ecology, Hostility, Cost, Water Quality and Air Quality are considered so that decision makers make appropriate site selection of the power plant in more rational and easy evaluation method. Using all the newly proposed methods in this paper, the policy makers are able to select the best power plant most easily and effectively without any big calculation. Finally, the power plant sites are ranked according to the highest value given by a score function.
Citation: New Mathematics and Natural Computation
PubDate: 20210910T07:00:00Z
DOI: 10.1142/S1793005722500223

 On the probabilistic convergence spaces: Monad and its
Eilenberg–Moore category
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Authors: T. M. G. Ahsanullah, Tesnim Meryem Baran, Fawzi AlThukair
Pages: 1  21
Abstract: New Mathematics and Natural Computation, Ahead of Print.
Motivated by the category of probabilistic convergence spaces — a supercategory of the category of topological spaces; recently, we brought to light the categories of probabilistic convergence groups, probabilistic metric probabilistic convergence groups, probabilistic convergence transformation groups, along with their underpinning natural examples. The purpose of this paper is, first, to establish a result on the isomorphism between the categories of probabilistic metric groups, and probabilistic metric probabilistic convergence groups. Second, among others, we explore a monad in relation with probabilistic convergence groups, and probabilistic convergence spaces, and their related algebras. In so doing, we consider a product of the categories of probabilistic convergence groups and probabilistic convergence spaces in an attempt to construct a monad on it such that the corresponding category of algebras, the socalled Eilenberg–Moore category, is isomorphic to the category of probabilistic convergence transformation groups. Finally, invoking socalled Beck’s theorem on characterization of algebras, and starting with a particular adjunction, we achieve a monad. Conversely, given a monad, we obtain an adjunction which coincides with the original monad.
Citation: New Mathematics and Natural Computation
PubDate: 20210831T07:00:00Z
DOI: 10.1142/S179300572250020X

 Soft Measure Theory

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Authors: Sujay Goldar, Subhasis Ray
Pages: 1  13
Abstract: New Mathematics and Natural Computation, Ahead of Print.
In this paper, the notion of soft [math] on the soft sets has been introduced. A correspondence relationship between the soft [math] and the [math] has been established. Consequently, soft measure is defined over the soft [math] and the relationship between the soft measure and the corresponding measure has been drawn. Finally, the soft outer measure on the soft power set is coined and also the correspondence between the soft outer measure and the measure has been depicted.
Citation: New Mathematics and Natural Computation
PubDate: 20210806T07:00:00Z
DOI: 10.1142/S179300572250017X

 Hybrid Structures on EQAlgebras

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Authors: Akbar Paad
Pages: 1  19
Abstract: New Mathematics and Natural Computation, Ahead of Print.
In this paper, the notion of hybrid structures on EQalgebras is introduced, and some related properties are provided. Moreover, the concept of hybrid (pre)filters in EQalgebras is provided and some related results are given. In the following, the quotient EQalgebras with respect to a hybrid filter of an EQalgebra are studied and it is shown that this quotient structure is a separated EQalgebra for any hybrid filter. Moreover, the concept of strong relative congruence relation is introduced and some related properties are characterized. Finally, it is proved that there is a onetoone correspondence between the set of all relative congruence relation and the set of all hybrid filters with a few additional conditions.
Citation: New Mathematics and Natural Computation
PubDate: 20210806T07:00:00Z
DOI: 10.1142/S1793005722500193

 More on Prime, Maximal and Principal Soft Ideals of Soft Rings

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Authors: Akín Osman Atagün, Aslihan Sezgi̇n
Pages: 1  13
Abstract: New Mathematics and Natural Computation, Ahead of Print.
In this paper, we aim to extend the studies [M. R. Alimoradi, R. Rezaei and M. Rahimi, Some notes on ideals in soft rings, Journal Australian Journal of Basic and Applied Sciences 6(3) (2012) 717–721; F. Koyuncu and B. Tanay, Some soft algebraic structures, Journal of New Results Science 10(2016) 38–51] as regards maximal, prime and principal soft ideal of soft rings, characterize soft rings with these soft ideals and also provide some more relations between maximal, prime and principal soft ideals of soft rings. The notions of maximality and primeness points of soft ideals of a soft rings are defined, maximal and prime idealistic soft rings as well as maximal, prime and principal soft ideal of soft rings and their basic properties are more investigated under certain conditions, especially by means of homomorphism and epimorphism of rings. We apply some of the basic results about maximal ideals and prime ideals in classical abstract algebra to maximal, prime and principal idealistic soft rings and we give some of their interrelations between each others.
Citation: New Mathematics and Natural Computation
PubDate: 20210730T07:00:00Z
DOI: 10.1142/S1793005722500119

 Decisionmaking problem based on confidence intuitionistic trapezoidal
fuzzy Einstein aggregation operators and their application
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Authors: Khaista Rahman
Pages: 1  32
Abstract: New Mathematics and Natural Computation, Ahead of Print.
Confidence level plays an important role in decision making in daily life. Therefore, the focus of our paper is to develop the idea of confidence level. With the help of confidence level in this paper, we explore some new operators, namely confidence intuitionistic trapezoidal fuzzy Einstein weighted averaging (abbreviated as CITFEWA) operator, confidence intuitionistic trapezoidal fuzzy Einstein ordered weighted averaging (abbreviated as CITFEOWA) operator, confidence intuitionistic trapezoidal fuzzy Einstein hybrid averaging (abbreviated as CITFEHA) operator, confidence intuitionistic trapezoidal fuzzy Einstein weighted geometric (abbreviated as CITFEWG) operator, confidence intuitionistic trapezoidal fuzzy Einstein ordered weighted geometric (abbreviated as CITFEOWG) operator and confidence intuitionistic trapezoidal fuzzy Einstein hybrid geometric (abbreviated as CITFEHG) operator. The benefit of the confidence approaches is that these techniques not only deliver evidence of the problems to the experts, but these operators and methods also develop the grades of the decision makers of that these experts are familiar with the option for the selection. To develop the proposed operators, we investigate and study some of their basic properties. To show the importance and efficiency of the new methods, these methods are applied to decision making. Lastly, an example is given for the confirmation of the viability and availability of the proposed approaches and methods.
Citation: New Mathematics and Natural Computation
PubDate: 20210730T07:00:00Z
DOI: 10.1142/S1793005722500132

 Workforce Diversity in DecisionMaking Organizations: A Perspective from
AgentBased Computational Economics
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Authors: Friederike Wall
Pages: 1  25
Abstract: New Mathematics and Natural Computation, Ahead of Print.
Diversity in teams has become an important societal and economic issue which is studied in various scientific domains. In organizational sciences, particularly empirical research methods prevail. This paper proposes to explore agentbased computational economics as a research approach for workforce diversity more intensely due to its inherent properties like capturing heterogeneous interacting agents. For highlighting this, this paper presents an agentbased computational model based on the framework of NK fitness landscapes. In the simulations, artificial organizations search for superior levels of organizational performance with search being delegated to several and potentially diverse decisionmaking agents. The experiments control for the level of task complexity and reflects four different attributes of workplace diversity among agents: cognitive capabilities to (i) generate and (ii) evaluate new solutions, (iii) effort efficiency and (iv) commitment to the overall organizational objective. The results suggest that the effects of workforce diversity differ across task complexity and attributes of diversity. Diversity of commitment has the strongest impact which results from interactions among local maximizers and agents seeking to globally maximize with only local means. Moreover, the results point to nonlinear effects of multiattributive diversity on organizational performance.
Citation: New Mathematics and Natural Computation
PubDate: 20210730T07:00:00Z
DOI: 10.1142/S1793005722500181

 New Fundamental Relation on Fuzzy Hypersemigroups

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Authors: N. Firouzkouhi, R. Ameri
Pages: 1  9
Abstract: New Mathematics and Natural Computation, Ahead of Print.
The important implements in the fuzzy hyperstructure theory are fundamental relations to acquire universal algebras. The fundamental relation on a fuzzy hypersemigroup(hypergroup) is introduced as the smallest equivalence relation such that the factor would be a semigroup (group). In this study, a novel fuzzy strongly regular relation on a fuzzy hypersemigroup (hypergroup) is characterized so that the quotient is a commutative semigroup (group). The necessary and sufficient circumstances are expressed in which the given relation is transitive.
Citation: New Mathematics and Natural Computation
PubDate: 20210719T07:00:00Z
DOI: 10.1142/S1793005722500120

 Beta Products of Fuzzy Graphs with Application in Cryptography

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Authors: R. A. Borzooei, B. Sheikh Hoseini, Y. B. Jun
Pages: 1  18
Abstract: New Mathematics and Natural Computation, Ahead of Print.
Fuzzy graph theory is finding an increasing number of application in modeling real time systems where the level of information inherent in the system varies with different levels of precision. Special fuzzy graph can be obtained from two given fuzzy graphs using the operations beta products. In this paper, we introduce the notions of some kinds of beta product of two fuzzy graphs. The concept of strong, regular and complement of [math]product of two fuzzy graphs and relation between them are also obtained. At the end, an application with a cryptographic object is said to be using the [math]product of fuzzy graphs.
Citation: New Mathematics and Natural Computation
PubDate: 20210708T07:00:00Z
DOI: 10.1142/S1793005722500107
