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Stability of multiobjective nonlinear programming problems with fuzzy parameters

โœ Scribed by Mohamed S. Osman; Abou-Zaid H. El-Banna

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
351 KB
Volume
35
Category
Article
ISSN
0378-4754

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โœฆ Synopsis

Osman, MS. and A.-Z.H. El-Banna, Stability of multiobjective nonlinear programming problems with fuzzy parameters, Mathematics and Computers in Simulation 35 (1993) 321-326.

This paper deals with multiobjective nonlinear programming problems with fuzzy parameters in the objective functions. These fuzzy parameters are characterized by fuzzy numbers. The existing results concerning the qualitative analysis of some basic notions in parametric nonlinear programming problems are reformulated to study the stability of multiobjective nonlinear programming problems under the concept of cu-pareto optimality. An algorithm for obtaining any subset of the parametric space which has the same corresponding &-Pareto optimal solution is also presented.

An illustrative example is given to clarify the obtained results.

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