Two Results About Optimization of Fuzzy Variable Functions

Abstract-- We discuss some optimization problems for fuzzy variable functions and show two interesting results. First result is related to conditions for existence of global optimal solutions for some general class of optimization problems on En , the space of compacts, upper semicontinuous and normal fuzzy sets of Rn . The second result is about preservation of local optimality points, via Zadeh's principle of extension. Keywords-- Coercitivity of fuzzy variable functions, compacity in fuzzy metric spaces, fuzzy optimization, optimization of fuzzy variable functions, principle of extension.

• Type: Journal
• Year: 2009
• Where: EUSFLAT
• Authors: A. David Báez-Sánchez
• Keywords: EUSFLAT 2009, Fuzzy Logic, Fuzzy Variable Functions, Normal Fuzzy Sets, Optimization Problems