Interactive stability of multiobjective NLP problems with fuzzy parameters in the objective functions and constraints

This paper deals with an interactive stability of multiobjective nonlinear programming problems with fuzzy parameters in the objective functions and constraints. These fuzzy parameters are characterized by fuzzy numbers. The existing results concerning the qualitative analysis set of the first kind...

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Vydáno v:Fuzzy sets and systems Ročník 109; číslo 1; s. 83 - 90
Hlavní autor: Ammar, Elsaid Ibrahim
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier B.V 2000
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ISSN:0165-0114, 1872-6801
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Shrnutí:This paper deals with an interactive stability of multiobjective nonlinear programming problems with fuzzy parameters in the objective functions and constraints. These fuzzy parameters are characterized by fuzzy numbers. The existing results concerning the qualitative analysis set of the first kind are reformulated to study this set under the concept of α-pareto optimality. An interactive algorithm for obtaining the α-best-compromise and obtaining any subset of the parametric space which has the same corresponding α-pareto optimal solution is also presented. An illustrative example is given.
ISSN:0165-0114
1872-6801
DOI:10.1016/S0165-0114(97)00403-X