A parametric study of multiobjective NLP problems with fuzzy parameters in the objective functions

This paper deals with the stability of multiobjective nonlinear programming problems with ordinary and fuzzy parameters in the objective functions. These fuzzy parameters are characterized by fuzzy numbers. The existing results concerning the qualitative analysis of the notions (solvability set, sta...

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Bibliographic Details
Published in:Fuzzy sets and systems Vol. 80; no. 2; pp. 187 - 196
Main Authors: Kassem, Mohamed Abd El-Hady, Ammar, Elsaid Ebrahim
Format: Journal Article
Language:English
Published: Elsevier B.V 1996
Subjects:
Fuzzy numbers
Fuzzy programming
Multiobjective nonlinear programming
Parametric analysis
Stability
Fuzzy programming
Stability
Parametric analysis
Multiobjective nonlinear programming
Fuzzy numbers
ISSN:0165-0114, 1872-6801
Online Access:Get full text
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Summary:This paper deals with the stability of multiobjective nonlinear programming problems with ordinary and fuzzy parameters in the objective functions. These fuzzy parameters are characterized by fuzzy numbers. The existing results concerning the qualitative analysis of the notions (solvability set, stability sets of the first kind and of the second kind) in parametric nonlinear programming problems are reformulated to study the stability of multiobjective nonlinear programming problems under the concept of α-pareto optimality. An algorithm for obtaining any subset of the parametric space which has the same corresponding α-pareto optimal solution is also presented. An illustrative example is given to clarify the obtained results.
ISSN:0165-0114
1872-6801
DOI:10.1016/0165-0114(95)00200-6