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

Mohamed Abd El-Hady Kassem

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-9

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.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:890347

DOI: 10.1155/IJMMS.2005.1995

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