Soft Computing, ( ISI ), Year (2019-11)

Title : ( Fuzzy linear programming problems: models and solutions )

Authors: Reza Ghanbari , Khatere Ghorbani-Moghadam , Nezam Mahdavi Amiri , Bernard De Baets ,

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Abstract

We investigate various types of fuzzy linear programming problems based on models and solution methods. First, we review fuzzy linear programming problems with fuzzy decision variables and fuzzy linear programming problems with fuzzy parameters (fuzzy numbers in the definition of the objective function or constraints) along with the associated duality results. Then, we review the fully fuzzy linear programming problems with all variables and parameters being allowed to be fuzzy. Most methods used for solving such problems are based on ranking functions, α-cuts, using duality results or penalty functions. In these methods, authors deal with crisp formulations of the fuzzy problems. Recently, some heuristic algorithms have also been proposed. In these methods, some authors solve the fuzzy problem directly, while others solve the crisp problems approximately.

Keywords

, Fuzzy linear programming, Duality Ranking function, Fuzzy number, Fully fuzzy system
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@article{paperid:1078197,
author = {Ghanbari, Reza and خاطره قربانی مقدم and نظام مهدوی امیری and Bernard De Baets},
title = {Fuzzy linear programming problems: models and solutions},
journal = {Soft Computing},
year = {2019},
month = {November},
issn = {1432-7643},
keywords = {Fuzzy linear programming; Duality Ranking function; Fuzzy number; Fully fuzzy system},
}

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%0 Journal Article
%T Fuzzy linear programming problems: models and solutions
%A Ghanbari, Reza
%A خاطره قربانی مقدم
%A نظام مهدوی امیری
%A Bernard De Baets
%J Soft Computing
%@ 1432-7643
%D 2019

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