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Parametric computation of a fuzzy set solution to a class of fuzzy linear fractional optimization problems

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  • Bogdana Stanojević

    (Mathematical Institute of the Serbian Academy of Sciences and Arts)

  • Milan Stanojević

    (University of Belgrade)

Abstract

The class of fuzzy linear fractional optimization problems with fuzzy coefficients in the objective function is considered in this paper. We propose a parametric method for computing the membership values of the extreme points in the fuzzy set solution to such problems. We replace the exhaustive computation of the membership values—found in the literature for solving the same class of problems—by a parametric analysis of the efficiency of the feasible basic solutions to the bi-objective linear fractional programming problem through the optimality test in a related linear programming problem, thus simplifying the computation. An illustrative example from the field of production planning is included in the paper to complete the theoretical presentation of the solving approach, but also to emphasize how many real life problems may be modelled mathematically using fuzzy linear fractional optimization.

Suggested Citation

  • Bogdana Stanojević & Milan Stanojević, 2016. "Parametric computation of a fuzzy set solution to a class of fuzzy linear fractional optimization problems," Fuzzy Optimization and Decision Making, Springer, vol. 15(4), pages 435-455, December.
    • Handle: RePEc:spr:fuzodm:v:15:y:2016:i:4:d:10.1007_s10700-016-9232-1
    DOI: 10.1007/s10700-016-9232-1
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    References listed on IDEAS

    as
    1. Izaz Ullah Khan & Tahir Ahmad & Normah Maan, 2013. "A Simplified Novel Technique for Solving Fully Fuzzy Linear Programming Problems," Journal of Optimization Theory and Applications, Springer, vol. 159(2), pages 536-546, November.
    2. Jagdeep Kaur & Amit Kumar, 2013. "A New Method to Find the Unique Fuzzy Optimal Value of Fuzzy Linear Programming Problems," Journal of Optimization Theory and Applications, Springer, vol. 156(2), pages 529-534, February.
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