Forthcoming and Online First Articles

International Journal of Fuzzy Computation and Modelling

International Journal of Fuzzy Computation and Modelling (IJFCM)

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International Journal of Fuzzy Computation and Modelling (2 papers in press)

Regular Issues

  • On the Borel summability method of rough convergence of triple sequences of Bernstein-Stancu operator of fuzzy numbers   Order a copy of this article
    by A. Esi, Subramanian Nagarajan 
    Abstract: The main purpose of this study is to define the concept of rough limit set of a triple sequence space of Bernstein-Stancu polynomials of Borel summability of fuzzy numbers. We obtain the relation between the set of rough limit and the extreme limit points of a triple sequence space of Bernstein-Stancu polynomials of Borel summability method of fuzzy numbers. Finally, we investigate some properties of the rough limit set of Bernstein-Stancu polynomials under which Borel summable sequence of fuzzy numbers are convergent. Also, we give the results for Borel summability method of series of fuzzy numbers.
    Keywords: triple sequences; rough convergence; closed and convex; cluster points and rough limit points; sequences of fuzzy numbers; Bernstein-Stancu polynomials; Borel summability method.
    DOI: 10.1504/IJFCM.2021.10046382
     
  • Multiobjective Fractional Nonlinear Programming Problems under Pentagonal Intuitionistic Fuzzy environment   Order a copy of this article
    by Deepanjali Sahoo, Arun Tripathy, Jitendra Kumar Pati 
    Abstract: In this paper, a new linear ranking function is introduced to defuzzify the pentagonal intuitionistic fuzzy numbers. Then an intuitionistic fuzzy multiobjective fractional nonlinear programming problem (IFMOFNLPP) is formulated in which, the cost coefficient of objective functions and constraints and the right hand side constants of the constraints are considered as pentagonal intuitionistic fuzzy numbers. Authors have introduced the process of defuzzification and concept of linearisation to convert the suggested problem (IFMOFNLPP) into intuitionistic fuzzy multi objective nonlinear programming problem (IFMONLPP) and then applied the concept of linear ranking to the resultant (IFMONLPP)which yields crisp multiobjective nonlinear programming problem (CMONLPP). Some theorems are established to validate the method. Then by using Zimmermans technique under suitable nonlinear membership functions,(CMONLPP)is reduced to a standard NLPP which can be easily solved by any NLPP algorithm or software. Numerical example is stated to illustrate the present procedure. A comparative study is done for different nonlinear membership functions.
    Keywords: ranking function; intuitionistic fuzzy multiobjective fractional nonlinear programming problems; efficient solution; nonlinear membership function; Zimmerman’s max-min technique.
    DOI: 10.1504/IJFCM.2023.10051886
     

 

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