Authors: Stanojević, Bogdana 
Stanojević, Milan
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: On Fuzzy Solutions to a Class of Fuzzy Multi-objective Linear Optimization Problems
Journal: Advances in Operational Research in the Balkans
Series/Report no.: Springer Proceedings in Business and Economics
First page: 63
Last page: 76
Conference: XIII Balkan Conference on Operational Research - Advances in Operational Research in the Balkans, BALCOR 2018
Issue Date: 2020
Rank: M33
ISBN: 978-3-030-21989-5
ISSN: 2198-7254
DOI: 10.1007/978-3-030-21990-1_4
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.
Keywords: Multi-objective optimization | Fuzzy coefficients | Parametric analysis
Publisher: Springer Link
Project: Optimization of Distributive and Reverse Flows in Logistic Systems 
Multimodal Biometry in Identity Management 

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