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Application of Fuzzy Programming Method for Solving Nonlinear Fractional Programming Problems with Fuzzy Parameters

  • Conference paper
Mathematical Modelling and Scientific Computation (ICMMSC 2012)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 283))

Abstract

This paper presents a fuzzy programming procedure to solve nonlinear fractional programming problems in which the parameters involved in objective function are considered as fuzzy numbers. At first a multiobjective fuzzy nonlinear programming model is constructed by considering the numerator and denominator part, individually, of the fractional objective. Then by using tolerance ranges of the fuzzy parameters, the problem is decomposed and each decomposed objectives is solved independently within the feasible region to find the upper and lower tolerance values of the fuzzy objective goals in the decision making environment. Finally a Taylor’s series linear approximation technique is applied to linearize the membership goals and thereby obtaining most satisfactory decision in the decision making arena. A numerical example is solved and the solution is compared with existing approach to establish the efficiency of the proposed methodology.

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Authors and Affiliations

  1. Department of Mathematics, University of Kalyani, Kalyani, 741235, India

    Animesh Biswas & Koushik Bose

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  1. Animesh Biswas
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  2. Koushik Bose
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Gandhigram Rural University, 624302, Gandhigram, Tamil Nadu, India

    P. Balasubramaniam

  2. Department of Mathematics, Gandhigram Rural Institute - Deemed University, 624302, Gandhigram, Tamil Nadu, India

    R. Uthayakumar

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Biswas, A., Bose, K. (2012). Application of Fuzzy Programming Method for Solving Nonlinear Fractional Programming Problems with Fuzzy Parameters. In: Balasubramaniam, P., Uthayakumar, R. (eds) Mathematical Modelling and Scientific Computation. ICMMSC 2012. Communications in Computer and Information Science, vol 283. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28926-2_12

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  • DOI: https://doi.org/10.1007/978-3-642-28926-2_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28925-5

  • Online ISBN: 978-3-642-28926-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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