On fuzzy linear programming
type: Item
instance of: scholarly article
title: On fuzzy linear programming
zbMATH Open document ID: 0589.90085
DOI: 10.1016/0377-2217(85)90229-2
author: J. Llena
published in: European Journal of Operational Research
publication date: 1985-01-01T00:00:00Z
review text: Fuzzy multi-objective and fuzzy goal programming are discussed in connection with several membership functions which are used to transform the original problem into three equivalent linear programming problems. Existence and uniqueness theorems are given. Fuzzy duality is presented such that the equivalent forms for the ''fuzzy primal and dual'' are dual in the classical sense. It seems that the presented approach to multiobjective programming problems can be used to find efficient solutions, with better results then the other methods.
reviewed by: Jaroslav Ramík
Mathematics Subject Classification ID: 90C99
Mathematics Subject Classification ID: 90C05
Mathematics Subject Classification ID: 90B50
Mathematics Subject Classification ID: 49N15
Mathematics Subject Classification ID: 90C31
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 3948026
zbMATH Keywords: simplex algorithm
zbMATH Keywords: multi-objective
zbMATH Keywords: fuzzy goal programming
zbMATH Keywords: Existence
zbMATH Keywords: uniqueness
zbMATH Keywords: Fuzzy duality
zbMATH Keywords: multiobjective programming
MaRDI profile type: Publication
full work available at URL: 0377-2217(85)90229-2
OpenAlex ID: W2025193426
cites work: Q5534681
cites work: Multiobjective programming and planning
cites work: Q4116365
cites work: Duality, Indifference and Sensitivity Analysis inr Multiple Objective Linear Programming
cites work: Fuzzy sets
cites work: Fuzzy programming and linear programming with several objective functions
cites work: Media Selection and Fuzzy Linear Programming
description: scientific article; zbMATH DE number 3948026