Scalarization of the fuzzy optimization problems

被引：0

作者：

Wu H.-C. ^{[1
]}

机构：

[1] Department of Mathematics, National Kaohsiung Normal University

来源：

Fuzzy Optimization and Decision Making | 2006年 / 5卷 / 4期

关键词：

Convex cone; Fuzzy number; Maximal element; Minimal element; Optimal solution;

D O I：

10.1007/s10700-006-0019-7

中图分类号：

学科分类号：

摘要：

Scalarization of the fuzzy optimization problems using the embedding theorem and the concept of convex cone (ordering cone) is proposed in this paper. Two solution concepts are proposed by considering two convex cones. The set of all fuzzy numbers can be embedded into a normed space. This motivation naturally inspires us to invoke the scalarization techniques in vector optimization problems to solve the fuzzy optimization problems. By applying scalarization to the optimization problem with fuzzy coefficients, we obtain its corresponding scalar optimization problem. Finally, we show that the optimal solution of its corresponding scalar optimization problem is the optimal solution of the original fuzzy optimization problem. © Springer Science+Business Media, LLC 2006.

引用

页码：331 / 353

页数：22