三角模糊矩阵博弈的最优策略研究

Journal of Systems Engineering and Electronics ›› 2009, Vol. 31 ›› Issue (5): 1231-1234.

三角模糊矩阵博弈的最优策略研究

吴诗辉, 杨建军, 郭乃林

空军工程大学导弹学院, 陕西, 三原, 713800

收稿日期:2008-03-21 修回日期:2008-06-06 出版日期:2009-05-20 发布日期:2010-01-03
作者简介:吴诗辉(1982- ),男,博士研究生,主要研究方向为管理决策,博弈论,装备管理理论.E-mail:wu_s_h@163.com

Study on the optimal strategies solution of triangular fuzzy matrix game

WU Shi-hui, YANG Jian-jun, GUO Nai-lin

The Missile Inst., Air Force Engineering Univ., Sanyuan 713800, China

Received:2008-03-21 Revised:2008-06-06 Online:2009-05-20 Published:2010-01-03

摘要/Abstract

摘要： 由于人的认知水平的限制、信息的不完全性等诸多不确定性因素的影响,可能遇到以三角模糊数形式给出损益值的博弈问题.针对此问题,对三角模糊矩阵博弈问题进行了研究.依据三角模糊数的运算规则和比较规则,提出了三角模糊矩阵博弈问题的基于可能度的纯策略解的判定规则,以及2×2三角模糊矩阵博弈问题混合最优策略解的求解方法.最后通过两个算例进行了说明.

Abstract: Because of the limitation of human cognition and uncertain factors such as incomplete information,there exists the game with payoffs given by triangular fuzzy numbers(TFN).The optimal solution to the game problem is studied.Based on the operation laws and comparison laws for TFN,the judgment rule for pure strategy solution on the basis of possibility is presented,and the method to the solution of the game with 2×2 TFN matrix is also proposed.In the end,two numerical examples are given to illustrate the proposed judgment rule and method respectively.

中图分类号:

F224.32

吴诗辉, 杨建军, 郭乃林. 三角模糊矩阵博弈的最优策略研究[J]. Journal of Systems Engineering and Electronics, 2009, 31(5): 1231-1234.

WU Shi-hui, YANG Jian-jun, GUO Nai-lin. Study on the optimal strategies solution of triangular fuzzy matrix game[J]. Journal of Systems Engineering and Electronics, 2009, 31(5): 1231-1234.