Definition of fuzzy Pareto-optimality by using possibility theory

被引：0
|
作者：
Silva, Ricardo C. [1 ]
Yamakami, Akebo [1 ]
机构：
[1] Univ Estadual Campinas, Dept Telemat, Sch Elect & Comp Engn, BR-13083970 Campinas, SP, Brazil
来源：
PROCEEDINGS OF THE JOINT 2009 INTERNATIONAL FUZZY SYSTEMS ASSOCIATION WORLD CONGRESS AND 2009 EUROPEAN SOCIETY OF FUZZY LOGIC AND TECHNOLOGY CONFERENCE | 2009年
关键词：
Possibility theory; multi-objective optimization; fuzzy Pareto-optimality conditions; fuzzy mathematical programming; RANKING; NUMBERS;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Pareto-optimality conditions are crucial when dealing with classic multi-objective optimization problems because we need to find out a set of optimal solutions rather than only one optimal solution to optimization problem with a single objective. 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 use of possibility theory as a comparison index to define 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 single-objective problems. 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.
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页码：1234 / 1239
页数：6
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