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两人零和模糊博弈的可能规划模型
引用本文:逄金辉,张强.两人零和模糊博弈的可能规划模型[J].北京理工大学学报,2007,27(9):837-842.
作者姓名:逄金辉  张强
作者单位:北京理工大学,管理与经济学院, 北京,100081;北京理工大学,管理与经济学院, 北京,100081
基金项目:北京市重点学科建设项目
摘    要:研究模糊博弈环境下如何确定两人零和模糊博弈的均衡策略问题. 引入模糊测度刻画博弈局中人的偏好,提出了4种模糊偏好类型,给出其相应的模糊可能规划模型,并以此为工具,得到了一种确定两人有限零和模糊博弈均衡策略的新方法. 实例验证了该方法确定的均衡策略就是具有博弈偏好的现实均衡策略.

关 键 词:两人零和  模糊博弈  均衡策略  模糊偏好
文章编号:1001-0645(2007)09-0837-06
修稿时间:2007-04-23

Possibilistic Programming Models of Fuzzy Two-Zero Sum Games
PANG Jin-hui and ZHANG Qiang.Possibilistic Programming Models of Fuzzy Two-Zero Sum Games[J].Journal of Beijing Institute of Technology(Natural Science Edition),2007,27(9):837-842.
Authors:PANG Jin-hui and ZHANG Qiang
Institution:School of Management and Economics, Beijing Institute of Technology, Beijing 100081, China
Abstract:Under fuzzy game environment,the problem of how to ascertain equilibrium strategies in fuzzy two-person zero-sum games was considered.Fuzzy measures were introduced to describe player's preferences.Four fuzzy preference types were put forward,and its fuzzy possibilistic programming models were also given.Based on this,a new approach to solve the equilibrium strategies was gained.The equilibrium strategies obtained by this means are the realized equilibrium strategies with fuzzy preference.
Keywords:two-person zero-sum  fuzzy games  equilibrium strategies  fuzzy preference
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