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Type: Artigo de periódico
Title: The use of possibility theory in the definition of fuzzy Pareto-optimality
Author: Silva, RC
Yamakami, A
Abstract: Pareto-optimality conditions are crucial when dealing with classic multi-objective optimization problems. Extensions of these conditions to the fuzzy domain have been discussed and addressed in recent literature. This work presents a novel approach based on the definition of a fuzzily ordered set with a view to generating the necessary conditions for the Pareto-optimality of candidate solutions in the fuzzy domain. Making use of the conditions generated, one can characterize fuzzy efficient solutions by means of carefully chosen mono-objective problems and Karush-Kuhn-Tucker conditions to fuzzy non-dominated solutions. The uncertainties are inserted into the formulation of the studied fuzzy multi-objective optimization problem by means of fuzzy coefficients in the objective function. Some numerical examples are analytically solved to illustrate the efficiency of the proposed approach.
Subject: Fuzzy logic
Possibility theory
Multi-objective optimization
Fuzzy Pareto-optimality conditions
Fuzzy optimization
Country: EUA
Editor: Springer
Citation: Fuzzy Optimization And Decision Making. Springer, v. 10, n. 1, n. 11, n. 30, 2011.
Rights: fechado
Identifier DOI: 10.1007/s10700-010-9092-z
Date Issue: 2011
Appears in Collections:Unicamp - Artigos e Outros Documentos

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