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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Bibliographic Details
Published in:Fuzzy sets and systems Vol. 109; no. 1; pp. 83 - 90
Main Author: Ammar, Elsaid Ibrahim
Format: Journal Article
Language:English
Published: Elsevier B.V 2000
Subjects:
Decision making
Fuzzy numbers
Multiobjective NLP
Stability
α-pareto optimality
α-pareto optimality
Stability
Multiobjective NLP
Decision making
Fuzzy numbers
ISSN:0165-0114, 1872-6801
Online Access:Get full text
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Summary: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