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

Bogdana Stanojević () and Milan Stanojević ()
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Bogdana Stanojević: Mathematical Institute of the Serbian Academy of Sciences and Arts
Milan Stanojević: University of Belgrade

Fuzzy Optimization and Decision Making, 2016, vol. 15, issue 4, No 4, 435-455

Abstract: 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.

Keywords: Fuzzy mathematical programming; Linear fractional programming; Efficient solution; Parametric analysis; 90C70; 90C32; 90C31 (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s10700-016-9232-1

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