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Characterization of the stability set for non-differentiable fuzzy parametric optimization problems

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  • Mohamed Abd El-Hady Kassem

Abstract

This note presents the characterization of the stability set of the first kind for multiobjective nonlinear programming (MONLP) problems with fuzzy parameters either in the constraints or in the objective functions without any differentiability assumptions. These fuzzy parameters are characterized by triangular fuzzy numbers (TFNs). The existing results concerning the parametric space in convex programs are reformulated to study for multiobjective nonlinear programs under the concept of α -Pareto optimality.

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  • Mohamed Abd El-Hady Kassem, 2005. "Characterization of the stability set for non-differentiable fuzzy parametric optimization problems," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-9, January.
    • Handle: RePEc:hin:jijmms:890347
    DOI: 10.1155/IJMMS.2005.1995
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