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Journal Cover International Journal of Advanced Mathematical Sciences
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  This is an Open Access Journal Open Access journal
   ISSN (Print) 2307-454X - ISSN (Online) 2307-454X
   Published by Science Publishing Corporation Homepage  [12 journals]
  • Machine-coded genetic operators and their performances in floating-point
           genetic algorithms

    • Authors: Mehmet Hakan Satman, Emre Akadal
      Pages: 8 - 19
      Abstract: Machine-coded genetic algorithms (MCGAs) use the byte representation of floating-point numbers which are encoded in the computer memory. Use of the byte alphabet makes classical crossover operators directly applicable in the floating-point genetic algorithms. Since effect of the byte-based mutation operator depends on the location of the mutated byte, the byte-based mutation operator mimics the functionality of its binary counterpart. In this paper, we extend the MCGA by developing new type of byte-based genetic operators including a random mutation and a random dynamic mutation operator. We perform a simulation study to compare the performances of the byte-based operators with the classical FPGA operators using a set of test functions. The prepared software package, which is freely available for downloading, is used for the simulations. It is shown that the byte-based genetic search obtains precise results by carrying out the both exploration and exploitation tasks by discovering new fields of the search space and performing a local fine-tuning. It is also shown that the introduced byte-based operators improve the search capabilities of FPGAs by means of convergence rate and precision even if the decision variables are in larger domains.
      PubDate: 2017-01-25
      DOI: 10.14419/ijams.v5i1.7128
      Issue No: Vol. 5, No. 1 (2017)
       
  • Algorithms of common solutions for a fixed point of hemicontractive-type
           mapping and a generalized equilibrium problem

    • Authors: Habtu Zegeye, Tesfalem Hadush Meche, Mengistu Goa Sangago
      Pages: 20 - 26
      Abstract: In this paper, we introduce and study an iterative algorithm for finding a common element of the set of fixed points of a Lipschitz hemicontractive-type multi-valued mapping and the set of solutions of a generalized equilibrium problem in the framework of Hilbert spaces. Our results improve and extend most of the results that have been proved previously by many authors in this research area.
      PubDate: 2017-04-05
      DOI: 10.14419/ijams.v5i1.7270
      Issue No: Vol. 5, No. 1 (2017)
       
  • Derivations of second type of algebra of second class filiform Leibniz
           algebras of dimension derivation (n+2)

    • Authors: AL-Nashri AL-hossain Ahmad
      Pages: 27 - 35
      Abstract: In this article, the derivations of second type of algebra from the second class filiform Leibniz algebras of dimension derivation (n+2) is discussed. From the description of the derivations. It is found that the basis of the space Der(Ln(b)) of the algebra.
      PubDate: 2017-04-10
      DOI: 10.14419/ijams.v5i1.6879
      Issue No: Vol. 5, No. 1 (2017)
       
  • The Kumaraswamy compound Rayleigh distribution : properties and estimation

    • Authors: Hesham Reyad, Soha A. Othman, Adil M Younis, Ahmed M. Hashish
      Pages: 36 - 42
      Abstract: We introduce a new four parameter continuous model, called the Kumaraswamy compound Rayleigh (KwCR) distribution that extends the compound Rayleigh distribution. We study some mathematical properties of this distribution such as; mean, variance, coefficient of variation, quantile function, median, ordinary and incomplete moments, skewness, kurtosis, moment and probability generating functions, reliability analysis, Lorenz, Bonferroni and Zenga curves, Rényi of entropy, order statistics and record statistics. We consider the methods of moments and maximum likelihood for estimating the model parameters.
      PubDate: 2017-05-10
      DOI: 10.14419/ijams.v5i1.7571
      Issue No: Vol. 5, No. 1 (2017)
       
  • An efficient scheme for solving a system of time- fractional order
           differential-algebraic equations by using fractional Laplace iteration
           method

    • Authors: Sameer Hasan, Eman Namah
      Pages: 1 - 7
      Abstract: In this article, we propose an efficient algorithm for solving system of time- fractional differential-algebraic equations by using a fractional Laplace iteration method. The scheme is tested for some examples and the results demonstrate reliability and accuracy of this method.
      PubDate: 2016-12-17
      DOI: 10.14419/ijams.v5i1.6889
      Issue No: Vol. 5, No. 1 (2016)
       
 
 
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