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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Vydané v:	Fuzzy sets and systems Ročník 74; číslo 2; s. 207 - 215
Hlavný autor:	Saad, Omar Mohamed
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Amsterdam Elsevier B.V 15.09.1995 Elsevier
Predmet:	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
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Popis
Shrnutí:	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