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Solving mathematical programs with fuzzy equilibrium constraints

✍ Scribed by Cheng-Feng Hu; Fung-Bao Liu

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
520 KB
Volume
58
Category
Article
ISSN
0898-1221

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✦ Synopsis

This work deals with mathematical programs with fuzzy equilibrium constraints. It shows that solving the fuzzy MPEC is equivalent to solving a fuzzy complementarity constrained optimization problem. By using the tolerance approach, we show that the fuzzy complementarity constrained optimization problem can be converted to a regular nonlinear programming problem. A new smoothing approach based on entropic regularization is developed for solving the resulting optimization problem. Numerical examples are also included to illustrate the solution procedure.

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