Duality in linear programming with fuzzy parameters and matrix games with fuzzy pay-offs

被引：90

作者：

Bector, CR

Chandra, S ^{[1
]}

Vijay, V

机构：

[1] Univ Mannheim, Dept Business Adm, Winnipeg, MB R3T 5V4, Canada

[2] Indian Inst Technol, Dept Math, New Delhi 110016, India

来源：

FUZZY SETS AND SYSTEMS | 2004年 / 146卷 / 02期

关键词：

fuzzy numbers; fuzzy matrix game; fuzzy duality;

D O I：

10.1016/S0165-0114(03)00260-4

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

A dual for linear programming problems with fuzzy parameters is introduced and it is shown that a two person zero sum matrix game with fuzzy pay-offs is equivalent to a primal-dual pair of such fuzzy linear programming problems. Further certain difficulties with similar studies reported in the literature are discussed. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：253 / 269

页数：17

共 15 条

[1]

[Anonymous], 1980, EXTREMAL METHODS SYS

[2]

[Anonymous], 1991, FUZZY SET THEORY ITS

[3] On duality in linear programming under fuzzy environment [J].