LINEAR PROGRAMMING TECHNIQUE TO SOLVE TWO PERSON MATRIX GAMES WITH INTERVAL PAY-OFFS

被引：26

作者：

Nayak, Prasun Kumar ^{[1
]}

Pal, Madhumangal ^{[2
]}

机构：

[1] Bankura Christian Coll, Bankura 722101, India

[2] Vidyasagar Univ, Dept Appl Math Oceanol & Comp Programming, Midnapore 721102, India

来源：

ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH | 2009年 / 26卷 / 02期

关键词：

Fuzzy number; interval numbers; interval game; saddle point; COEFFICIENTS;

D O I：

10.1142/S0217595909002201

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

A fuzzy two person interval game problem is proposed and treated in this paper which is not easily tackled by the conventional methods. First, with respect to this pay-off values, a necessary and sufficient condition for the existence of a saddle point is proved. Based on interval value model, we are to find the value of interval game without saddle point. Finally, example is given to illustrate the procedure and to indicate the performance of the proposed method.

引用

页码：285 / 305

页数：21

共 14 条

[1]

[Anonymous], 1947, THEORY GAMES EC BEHA

[2] Duality in linear programming with fuzzy parameters and matrix games with fuzzy pay-offs [J].