Evolutionary algorithm solution to fuzzy problems: Fuzzy linear programming

被引：158
|
作者：
Buckley, JJ [1 ]
Feuring, T
机构：
[1] Univ Alabama, Dept Math, Birmingham, AL 35294 USA
[2] Univ Munster, Inst Informat, D-48149 Munster, Germany
来源：
FUZZY SETS AND SYSTEMS | 2000年 / 109卷 / 01期
关键词：
mathematical programming; fuzzy linear programming; evolutionary algorithms;
D O I：
10.1016/S0165-0114(98)00022-0
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper we wish to find solutions to the fully fuzzified linear program where all the parameters and variables are fuzzy numbers. We first change the problem of maximizing a fuzzy number, the value of the objective function, into a multi-objective fuzzy linear programming problem. We prove that fuzzy flexible programming can be used to explore the whole undominated set to the multi-objective fuzzy linear program. An evolutionary algorithm is designed to solve the fuzzy flexible program and we apply this program to two applications to generate good solutions. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：35 / 53
页数：19
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