On Fuzzy Solutions to a Class of Fuzzy Multi-objective Linear Optimization Problems

Bogdana Stanojević (bgdnpop@mi.sanu.ac.rs) and Milan Stanojević (milans@fon.bg.ac.rs)
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Bogdana Stanojević: Mathematical Institute of the Serbian Academy of Sciences and Arts
Milan Stanojević: University of Belgrade

A chapter in Advances in Operational Research in the Balkans, 2020, pp 63-76 from Springer

Abstract: Abstract The class of fuzzy multi-objective linear optimization problems with fuzzy coefficientsFuzzy coefficients in the objective functions is addressed in this paper. We introduce a parametric approach that helps to compute the membership values of the extreme points in the fuzzy set solution to such problems. We analyze the efficiency of the feasible basic solutions to a parametric multi-objective linear programming problem through the optimality test in a related linear programming problem. The particular case of triangular fuzzy numbers is presented in detail, and the possible degeneracy of the basic feasible solutions is handled. This paper is a continuation of our work on special classes of fuzzy optimization problems. Previously single-objective (linear and linear fractional) optimizationOptimization problems with fuzzy coefficientsFuzzy coefficients in the objective functions were successfully solved.

Keywords: Multi-objective optimization; Fuzzy coefficients; Parametric analysis (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:prbchp:978-3-030-21990-1_4

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DOI: 10.1007/978-3-030-21990-1_4

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