Stability on multiobjective linear programming problems with fuzzy parameters

This paper deals with multiobjective linear programming problems with fuzzy parameters (FMOLP). For such problems, some stability notions as the solvability set and the stability set of the first kind (SSK1) are defined and characterized. Two algorithms for the determination of the set (SSK1) are pr...

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Bibliographic Details
Published in:Fuzzy sets and systems Vol. 74; no. 2; pp. 207 - 215
Main Author: Saad, Omar Mohamed
Format: Journal Article
Language:English
Published: Amsterdam Elsevier B.V 15.09.1995
Elsevier
Subjects:
Applied sciences
Exact sciences and technology
Fuzzy multiobjective linear programming problems
Fuzzy numbers
Fuzzy parameters
Mathematical programming
Operational research and scientific management
Operational research. Management science
Stability
α-Pareto optimality
Fuzzy parameters
Stability
Fuzzy multiobjective linear programming problems
α-Pareto optimality
Fuzzy numbers
Linear programming
Fuzzy programming
Fuzzy number
Algorithm
Multiobjective programming
ISSN:0165-0114, 1872-6801
Online Access:Get full text
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Summary:This paper deals with multiobjective linear programming problems with fuzzy parameters (FMOLP). For such problems, some stability notions as the solvability set and the stability set of the first kind (SSK1) are defined and characterized. Two algorithms for the determination of the set (SSK1) are proposed. One of these algorithms is applied when the fuzzy multiobjective problem remains linear after introducing the so-called α-level set of the fuzzy numbers, while the other algorithm is applied when the fuzzy multiobjective problem becomes nonlinear. Finally, a numerical example is given to illustrate the theory developed in the paper.
ISSN:0165-0114
1872-6801
DOI:10.1016/0165-0114(94)00334-4