Authors:Krishnandan Verma Abstract: The motive of the current study is to analyse the consequences of Soret, Dufour and thermal radiation on chemically reactive MHD mixed convective flow on separation of binary fluid mixture. Numerical techniques are applied to obtain the results by using Matlab solver bvp4c. Results are acquired for velocity, temperature and concentration distributions for various parameters and are portrayed graphically. The study discloses some interesting results where different parameters like Soret number, Dufour number, chemical reaction parameter helps in restricting the temperature near the plate and at the same time raising the lightweight ingredient's concentration close to the plate, ultimately assisting the separation process. Numerical data are computed for coefficient of skin-friction coefficient, Local Nusselt number as well as Sherwood number. PubDate: 2023-03-20 DOI: 10.23755/rm.v46i0.1040 Issue No:Vol. 46 (2023)

Authors:Riyaz Ur Rehman A, A Mohamed Ismayil Abstract: We introduce transversal eccentric dominating(TED) set. An eccentric dominating set $D$ is called a TED-set if it intersects with every minimum eccentric dominating set $D'$. We find the TED-number $\gamma_{ted}$ of some standard graphs. Results are stated and proved. PubDate: 2023-03-20 DOI: 10.23755/rm.v46i0.1043 Issue No:Vol. 46 (2023)

Authors:Shahana A R, Magie Jose Abstract: In this paper some coupled coincidence fixed point theorems are established for the mappings under ϕ- contraction in complete generalized E- fuzzy metric spaces. Also give an example to validate the theorem and present an application of this theorem to integral equations. PubDate: 2023-03-20 DOI: 10.23755/rm.v46i0.1055 Issue No:Vol. 46 (2023)

Authors:Meena S, Gajalakshmiy G Abstract: A graph G with p points is called a prime labeling , if it possible to label the points x 2 V with distinct labels f(x) from f1;2; :::; pg in such a way that for each line e = uv gcd (f(u); f(v)) = 1 . In this paper we prove that some classes of graphs related to H- super subdivision of Y -tree are prime graphs. PubDate: 2023-03-20 DOI: 10.23755/rm.v46i0.1056 Issue No:Vol. 46 (2023)

Authors:Meena S, Gajalakshmiy G Abstract: For a graph G, a bijection f is called an odd prime labeling , if f from V to f1; 3; 5; ::::; 2jV j - 1g for each edge uv in G the greatest common divisor of the labels of end vertices (f(u); f(v)) is one. In this paper we investigate the existence of odd prime labeling of some new classes of graphs and we prove that the graphs such as the Z -Pn graph, Fish graph, Umbrella graph, Cocount tree , F-tree, Y -tree and Double Sunflower graph are odd prime graphs. PubDate: 2023-03-20 DOI: 10.23755/rm.v46i0.1057 Issue No:Vol. 46 (2023)

Authors:Christy Jenifer J, Kokilavani V Abstract: The aim of this prospectus is to initiate and establish the basic properties of IFG#α-closed sets and IFG#α-open sets. Basic characterization theorems are given with appropriate examples PubDate: 2023-03-20 DOI: 10.23755/rm.v46i0.1058 Issue No:Vol. 46 (2023)

Authors:Gajalakshmi G, Meena S Abstract: In a graph G a mapping g is known as odd prime labeling , if g is a bijection from V to f1; 3; 5; ::::; 2jVj - 1g satisfying the condition that for each line xy in G the gcd of the labels of end points (g(x); g(y)) is one. In this article we prove that some new arrow related graphs such as A2 y, A3 y,A5 y, are all odd prime graphs. Also we prove that double arrow graphs, DA2 y and DA3 y are odd prime graphs. PubDate: 2023-03-20 DOI: 10.23755/rm.v46i0.1059 Issue No:Vol. 46 (2023)

Authors:Azhagendran N, Mohamed Ismayil A Abstract: In this paper we discussed about some types of complex fuzzy graphs which is the extension of fuzzy graph. As the membership value of elements of fuzzy graph is in between 0 and 1. In complex fuzzy graph it will be extended to unit circle of complex plane. Some operations such as union, intersection, composition, cartesian product of two complex fuzzy graphs are introduced. Some basic theorems with respect to the above mentioned operations are proved with examples. PubDate: 2023-03-20 DOI: 10.23755/rm.v46i0.1060 Issue No:Vol. 46 (2023)

Authors:Diviya K D, Anjaly Kishore Abstract: Positive labelled edges play a vital role in network analysis.The degree of edges in signed graphs is introduced by giving importance to positive edges incident on the end vertices of that edge. The concept of Platt number of a graph, which is the sum of degrees of its edges, is extended to signed graphs based on the degree defined. Bounds of degree of an edge and Platt number in certain classes of signed graphs are determined. Some characterizations on Platt number of signed graphs are also established. A model to analyse social networks using degree of edges and Platt number is also proposed. Keywords: Signed graph, positive edges, negative edges, networks, information diffusion, degree of an edge, Platt number PubDate: 2023-03-20 DOI: 10.23755/rm.v46i0.1061 Issue No:Vol. 46 (2023)

Authors:Janaki G, Gowri Shankari A Abstract: An interdisciplinary field with significant practical use is cryptography. The difficulty of specific mathematical computing tasks affects a public key cryptosystem’s security. The technique for coding and decoding the messages was described in this work, utilising the solutions of Pell equation x2 - 8y2 = 1 and matrix Q8∗. It was noted that messages can be turned into an even size that is then divided into slabs. PubDate: 2023-03-20 DOI: 10.23755/rm.v46i0.1062 Issue No:Vol. 46 (2023)

Authors:Jahir Hussain R, Afya Farhana M Abstract: An FSG GS(T,V) fuzzy’s soft dominator colouring (FSDC) is a suitable Fuzzy Soft Colouring (FSC) where every node of a colour group is dominated by a vertex of GS(T,V). In the current work, we characterize the sharp bounds for the Fuzzy Dominator Chromatic Number (FDCN) of fuzzy soft bipartite graphs and we present limits on the FDCN of fuzzy soft bipartite graph in terms of the γe(GS(T; V )). Furthermore, we classify fuzzy soft bipartite graphs into three classes based on FDCN PubDate: 2023-03-20 DOI: 10.23755/rm.v46i0.1063 Issue No:Vol. 46 (2023)

Authors:Asim Basha M, Mohammed Jabarulla M Abstract: It has been proposed to use Pythagorean fuzzy sets (PFS), is an extension of fuzzy sets (FSs), to address uncertainty in practical decision – making problems. Then the Shortest Path Problem (SPP) is a well – known network improvement issue with numerous practical applications. Then the shortest Path (SP) and the shortest distance (SD) in an Interval – valued Pythagorean fuzzy graph (I-VPFG) are found using a method in the current communication. Nodes and connections are crisp, while the edge weights are I-V triangular Pythagorean fuzzy numbers (I-VTPFN). Additionally, a numerical example has been used to demonstrate the suggested strategy. PubDate: 2023-03-20 DOI: 10.23755/rm.v46i0.1064 Issue No:Vol. 46 (2023)

Authors:Mohammed Jabarulla Mohamed, Sivasamy Rajamanickam Abstract: A Strong interval – valued Pythagorean fuzzy soft sets (SIVPFSS) an extending the theory of Interval-valued Pythagorean fuzzy soft set (IVPFSS). Then we Propose Strong interval valued Pythagorean fuzzy soft graphs (SIVPFSGs). We also present several different types of operations on Strong interval- valued Pythagorean fuzzy soft graphs and explore of their analysis. PubDate: 2023-03-20 DOI: 10.23755/rm.v46i0.1067 Issue No:Vol. 46 (2023)

Authors:S Ramkumar, R Sridevi Abstract: In this paper, we have introduced dominating set, minimal dominating set, independent dominating set, maximal independent dominating set in m − polar soft fuzzy graphs. We proved theorems and also some properties of dominating set in m− polar soft fuzzy graphs. PubDate: 2023-03-20 DOI: 10.23755/rm.v46i0.1070 Issue No:Vol. 46 (2023)

Authors:R Jahir Hussain, S Palaniyandi Abstract: Many researchers have explored the fuzzy set extensively. We propose the notion of anti-homomorphism in Q is fuzzy subgroups and normal subgroups. It is establish some findings in this study article and build the theory of anti-homomorphism in Q-fuzzy subgroups, normal subgroups. It is also extend results on Q-fuzzy abelian sub-group and Q-fuzzy normal subgroup. PubDate: 2023-03-20 DOI: 10.23755/rm.v46i0.1071 Issue No:Vol. 46 (2023)

Authors:G. Gnana Priya, A. Sabarmathi, V.S.V Naga Soundarya Lakshmi Abstract: The aim of this research is to construct a model for type-2 diabetic from obesity using parameters based on the female population in India. We have introduced two control variables as diet with physical activity and medication. The positive endemic equilibrium is obtained. The local and global stability of the model are analyzed with some specific conditions. Numerical simulations are carried out to exhibit the flow of variables with controls. Our study mainly highlights the awareness of metabolic risk by healthy diet, physical activities and medications. PubDate: 2023-03-20 DOI: 10.23755/rm.v46i0.1072 Issue No:Vol. 46 (2023)

Authors:S Palaniyandi, R Jahir Hussain Abstract: Numerous subject fields have made use of the fuzzy idea. Both the M-fuzzy level subsets and the anti Q-M-fuzzy normal subgroups are defined. You will also discover some group Q-M-homomorphism and group anti Q-M-homomorphism results in this study. PubDate: 2023-03-20 DOI: 10.23755/rm.v46i0.1073 Issue No:Vol. 46 (2023)

Authors:Pavithra Sivasamy, Vanthana Ramesh Kumar Abstract: A mathematical model is investigated to analyze the biological interactions between the immune system and SARS-CoV (within host). Homotopy Perturbation Method is executed to obtain an analytical solution to the non-linear system of ordinary differential equations. Graphical illustration to these solutions is also presented. The reliability and the simplicity of the aforementioned method is studied through the comparison between the numerical and graphical results. This comparison aids the better understanding of the disease dynamics and also the establishment of probable strategies for the treatment of COVID-19. PubDate: 2023-03-20 DOI: 10.23755/rm.v46i0.1074 Issue No:Vol. 46 (2023)

Authors:P Padmavathi Abstract: The aim of this paper is to introduce and study the properties the nano generalized pre c- interior of a set such as nano generalized pre c-border and nano generalized pre c-exterior in a nano topological space. PubDate: 2023-03-20 DOI: 10.23755/rm.v46i0.1075 Issue No:Vol. 46 (2023)

Authors:K.K Myithili, R Keerthika Abstract: In graph theory, a transversal is a set of vertices incident to every edge in a graph but in Intuitionistic Fuzzy k-Partite Hypergraph(IFk-PHG), the transversal is a hyperedge which cuts every hyperedges. In this article, Intuitionistic Fuzzy Transversal(IFT), minimal IFT, locally minimal IFT, IFTC(Intuitionistic Fuzzy Transversal Core) of IFk- PHG has been defined. It has been proved that every IFk-PHG has a nonempty IFT. Also few of the properties relating to the transversal of IFk-PHG were discussed. PubDate: 2023-03-20 DOI: 10.23755/rm.v46i0.1076 Issue No:Vol. 46 (2023)

Authors:A Lekha, K.S Parvathy Abstract: Given a fuzzy graph G = (V; ; ), the fz- domination number, fz(G), is the least scalar cardinality of an fz- dominating set of G. In this article, we examine several features of fz-domination number of fuzzy graphs as a result of various fuzzy graph operations. We find bounds for the fz-domination number of a few graph products and look at the requirements for the sharpness of these bounds. PubDate: 2023-03-20 DOI: 10.23755/rm.v46i0.1078 Issue No:Vol. 46 (2023)

Authors:R. Deepa, Dr. P. Sundararajan Abstract: Unexpected event modelling is a affluent area of study in fuzzy matrix (FM) modelling. Every fuzzy matrix may be shown as a multidimensional cocept, but standard matrices cannot achieve this without the proper scale. To solve this issue, a certain kind of classical fuzzy matrix is required. In this study, the idea of an inverse of a k-regular fuzzy matrix is introduced, and some of its key characteristics are listed. As a result, the same regularity indicator is used to describe a matrix. Investigation is also done on the relationship between the regular, k-regular, and consistency of fuzzy matrices powers. PubDate: 2023-03-20 DOI: 10.23755/rm.v46i0.1079 Issue No:Vol. 46 (2023)

Authors:J Senthamizh Selvan, R Jahir Hussain Abstract: In this article, We have extended to Range labeling for some trees as for Star trees, Spider trees and Banana tress PubDate: 2023-03-20 DOI: 10.23755/rm.v46i0.1080 Issue No:Vol. 46 (2023)

Authors:Reeja Kuriakose, K. S Parvathy Abstract: The stability of dominating sets in Graphs is introduced and studied, in this paper. Here D is a dominating set of Graph G. In this paper the vertices of D and vertices of $V - D$ are called donors and acceptors respectively. For a vertex u in D, let $\psi_{D}(u)$ denote the number $\ N(u) \cap (V - D)\ . The donor instability or simply d- instability $d^{D}_{inst}(e)$ of an edge e connecting two donor vertices v and u is $\ \psi_{D}(u)-\psi_{D}(v)\ $. The d-instability of D, $\psi_{d}(D) is the sum of d-instabilities of all edges connecting vertices in D. For a vertex u not in D, let $\phi_{D}(u) denote the number $\ N(u)\cap D\ . The Acceptor Instability or simply a-instability $a^{D}_{inst}(e)$ of an edge e connecting two acceptor vertices u and v is $\ \phi_{D}(u)-\phi_{D}(v)\ $. The a-instability of D, $\phi_{a}(D)$ is the sum of a-instabilities of all edges connecting vertices in $V - D$. The dominating set D is d-stable if $\psi_{d}(D) = 0$ and a-stable if $\phi_{a}(D) = 0$. D is stable, if $\psi_{d}(D) = 0$ and $\psi_{a}(D) = 0$. Given a non negative integer #\alpha$, D is $\alpha-d-stable$, if $d^{D}_{inst}(e)\leq\alpha$ for any edge e connecting two donor vertices and D is $\alpha-a-stable$, if $a^{D}_{inst}(e)\leq\alpha$ for any edge e connecting two acceptor vertices. Here we study $\alpha$- stability number of graphs for non negative integer $\alpha$. PubDate: 2023-03-20 DOI: 10.23755/rm.v46i0.1081 Issue No:Vol. 46 (2023)

Authors:R Tejaskumar, A Mohamed Ismayil Abstract: In this paper we introduce the superior eccentric domination polynomial $SED(G, φ) = β\sum_{ l=\gamma_{sed}(G)} sed(G, l) φ^{l}$ where sed(G, l) is the number of all distinct superior eccentric dominating sets with cardinality l and $\gamma_{sed}(G)$ is superior eccentric domination number. We find SED(G, φ) for different standard graphs. Results are presented. PubDate: 2023-03-20 DOI: 10.23755/rm.v46i0.1082 Issue No:Vol. 46 (2023)

Authors:G Vinu Priya, R Jothilakshmi Abstract: This paper deals with the association between the linear prediction and digital signal modeling and ends up with the suitable ways to predict the signal by considering a stationary signal $y_{n}$. The linear prediction of signal modeling based on the finite past and the solutions are arrived in a recursive manner. Further we analyzed the wiener filter along with spectral theorem and autocorrelation in terms ofpredictive analysis.This estimates the gap function along with delay and noise. The delayed signal’sproperties are analyzed like causal, stability and applied these into optimum filtering. Finally the predicted error is compared with linear predictor and Wiener filter. Then transfer function is applied to estimate the interval function and gap function along with delay. PubDate: 2023-03-20 DOI: 10.23755/rm.v46i0.1083 Issue No:Vol. 46 (2023)

Authors:CV Shakila, SK Khadar Babu Abstract: The prediction of crop yield, particularly paddy production is a challenging task and researchers are familiar with forecasting the paddy yield using statistical methods, but they have struggled to do so with greater accuracy for a variety of factors. Therefore, machine learning methods such as Elastic Net, Ridge Regression, Lasso and Polynomial Regression are demonstrated to predict and forecast the wheat yield accurately for all India-level data. Assessment metrics such as coefficient of determination ($R^{2}$ ), Root Mean Square Error (RMSE), Mean Absolute Error (MAE), Mean Squared Error (MSE) and Mean Absolute Percentage Error (MAPE) are used to evaluate the performance of each developed model. Finally, while evaluating the prediction accuracy using evaluation metrics, the performance of the Polynomial Regression model is shown to be high when compared to other models that are already accessible from various research in the literature. PubDate: 2023-03-20 DOI: 10.23755/rm.v46i0.1085 Issue No:Vol. 46 (2023)

Authors:C. B. Sumathi, R. Jothilakshmi Abstract: In this paper control system’s stability is arrived based on Bounded Input Bounded Output (BIBO) when bounded input is given in the form of discrete values. The control system allows the state estimation constraints to reach the convergence even when fluctuations in the parameters of the input system occur. To overcome this DTFT (Discrete Time Fourier Transform) is used when the signal is completely absolutely summable. Stability of the LTI (Linear time invariant) system is showed and is depending on the absolute summable of their impulse response. Simultaneously for continuous signal the stability occurs if it is absolutely integrable . LTI system is steady if their impulse responses encounter the Dirichlet conditions. In addition to that the linearity and time-invariance properties are discussed. This provide a new way to decompose the periodic signals into Fourier series by convolving the fundamental signals. Continuous and discrete time signals are focused in this paper to get linear time invariant system (LTI) through complex exponentials. Finally filtering techniques were used to eliminate the noisy frequency component in a signal. PubDate: 2023-03-20 DOI: 10.23755/rm.v46i0.1086 Issue No:Vol. 46 (2023)

Authors:K. Revathi, Dr. P. Sundararajan Abstract: The mathematical model given here attempts to improve precision in the diagnosis of stress, anxiety, and hypertension using Intuitionistic robust fuzzy matrix (IRFM). In practice, the imprecise nature of medical documentation and the uncertainty of patient information frequently do not provide the appropriate level of confidence in the diagnosis. To that purpose, a novel method based on distinct fuzzy matrices and fuzzy relations is devised, which makes use of the capabilities of fuzzy logic in describing, understanding, and exploiting facts and information that are unclear and lack clarity. With the assistance of 30 doctors, a medical knowledge base is created during the procedure. The model obtained 95.55%t accuracy in the diagnosis, demonstrating its utility. PubDate: 2023-03-20 DOI: 10.23755/rm.v46i0.1087 Issue No:Vol. 46 (2023)

Authors:A Nagoor gani, R Yogarani Abstract: In order to resolve the fuzzy linear programming problem, the fuzzy exponential barrier approach is the major strategy employed in this article. To overcome the problems with fuzzy linear programming, this method uses an algorithm. In this concept, a fuzzy inequality constraint is produced since the objective functions are convex.numerical examples are provided. PubDate: 2023-03-20 DOI: 10.23755/rm.v46i0.1088 Issue No:Vol. 46 (2023)

Authors:A. Sudha, Dr. P. Sundararajan Abstract: The idea of fuzzy graphs is crucial for dealing with uncertainty in day-to-day living situations. In this work, we have a present a work fuzzy graph associates with robustness model that’s easy, flexible, and simple. With this model, we have a tendency to address the examination planning downside below uncertainty supported. Randomness and unclearness are two very separate types of uncertainty in knowledge. This study bridges resilient fuzzy graphs and addresses every type of uncertainty in higher cognitive processes. In this paper we introduce a type of fuzzy graph relating with robustness is called robust fuzzy graph and some of its properties. Robust fuzzy graph becomes a best tool in evidence theory for calculating belief functions, plausibility functions, spanning functions etc. PubDate: 2023-03-20 DOI: 10.23755/rm.v46i0.1089 Issue No:Vol. 46 (2023)