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基于纯策略的灰矩阵博弈模型研究(Ⅰ)--标准灰矩阵博弈模型构建
引用本文:方志耕,刘思峰.基于纯策略的灰矩阵博弈模型研究(Ⅰ)--标准灰矩阵博弈模型构建[J].东南大学学报(自然科学版),2003,33(6):796-800.
作者姓名:方志耕  刘思峰
作者单位:1. 南京航空航天大学经济与管理学院,南京,210016;解放军汽车管理学院,蚌埠,233011
2. 南京航空航天大学经济与管理学院,南京,210016
基金项目:高等学校博士学科点专项科研项目,江苏省自然科学基金,南京航空航天大学校科研和教改项目,20020287001,BK2003211,1009-260812,,,
摘    要:在非精确数学的基础上研究灰矩阵博弈问题;运用灰色系统理论,从新的视角分析和研究了基于纯策略的灰矩阵博弈与经典的确定白化数矩阵博弈的联系与区别,构建了严格标准和标准灰矩阵博弈模型,并认为:确定白化数矩阵博弈问题是严格标准灰矩阵博弈问题的特例,后者是前者的推广;而严格标准灰矩阵博弈问题则又是标准灰矩阵博弈问题的特殊情形。事实上,标准灰矩阵博弈模型更符合实际情况,比精典的矩阵博弈模型有更广的适用范围。

关 键 词:博弈  灰色系统  可比较灰数集合  最大、最小可判定灰数  标准灰矩阵博弈
文章编号:1001-0505(2003)06-0796-05

Study on grey matrix game based on pure strategy(Ⅰ): building on normal grey matrix game
Fang Zhigeng , Liu Sifeng.Study on grey matrix game based on pure strategy(Ⅰ): building on normal grey matrix game[J].Journal of Southeast University(Natural Science Edition),2003,33(6):796-800.
Authors:Fang Zhigeng  Liu Sifeng
Institution:Fang Zhigeng 1,2 Liu Sifeng 1
Abstract:The problems of grey matrix game, based on non exactitude mathematics, are researched. Similarity and variance between classical matrix game and grey matrix game are analyzed and researched from the new visual angle of the grey systems theories. We build the model of strict norm and criterion in the paper. On the one hand,the classical matrix game is a particular case of strict norm model. On the other hand,the strict norm grey game is the classical matrix game that is generalized in the field of the grey system. However,the strict standard grey matrix game is a special situation. In fact,the standard grey matrix game is more fitting to practical circumstance than is the classical matrix game. Therefore,it has more applicability than the classical matrix game. As a matter of fact,on the one hand,the classical game is generalized in the field of uncertain grey. On the other hand,the category of theories of the game is enriched by the paper.
Keywords:game  grey system  set of comparable grey data  comparable grey data of the maximum and minimum  standard grey matrix game
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