Stability of multiobjective nonlinear programming problems with fuzzy parameters
Mohamed S. Osman and
Abou-Zaid H. El-Banna
Mathematics and Computers in Simulation (MATCOM), 1993, vol. 35, issue 4, 321-326
Abstract:
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 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.
Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:35:y:1993:i:4:p:321-326
DOI: 10.1016/0378-4754(93)90062-Y
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