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2020 | OriginalPaper | Buchkapitel

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

verfasst von : Bogdana Stanojević, Milan Stanojević

Erschienen in: Advances in Operational Research in the Balkans

Verlag: Springer International Publishing

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Abstract

The class of fuzzy multi-objective linear optimization problems with fuzzy 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) optimization problems with fuzzy coefficients in the objective functions were successfully solved.

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Titel: On Fuzzy Solutions to a Class of Fuzzy Multi-objective Linear Optimization Problems
verfasst von: Bogdana Stanojević
Milan Stanojević
Verlag: Springer International Publishing
Buch: Advances in Operational Research in the Balkans
Print ISBN: 978-3-030-21989-5

Electronic ISBN: 978-3-030-21990-1

Copyright-Jahr: 2020
DOI: https://doi.org/10.1007/978-3-030-21990-1_4

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