Duality of optimization problems with generalized fuzzy relation equation and inequality constraints

被引：8
|
作者：
Gavalec, Martin [1 ]
Zimmermann, Karel [2 ]
机构：
[1] Univ Hradec Kralove, Fac Informat & Management, Dept Informat Technol, Hradec Kralove 50003, Czech Republic
[2] Charles Univ Prague, Fac Math & Phys, Dept Appl Math, CR-11800 Prague 1, Czech Republic
来源：
INFORMATION SCIENCES | 2013年 / 234卷
关键词：
Fuzzy relational equations and inequalities; Max-separable optimization problems; Non-convex optimization;
D O I：
10.1016/j.ins.2011.04.019
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A generalization of fuzzy relation equations and inequalities is introduced. An explicit method for solving optimization problems, the feasible set of which is described by a system of generalized fuzzy relation equations and inequalities, is considered. The objective function of the problems is equal to the maximum of continuous increasing functions of one variable. A duality concept for such problems is proposed. The problems are considered in a finitely dimensional space. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：64 / 70
页数：7
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