基于可能性测度的模糊对策  

Fuzzy Games Based on Possibility Measures

作　　者：李存林[1,2] 张强[2] 

机构地区：[1]北方民族大学信息与计算科学学院,宁夏银川750021 [2]北京理工大学管理与经济学院,北京100081

出　　处：《北京理工大学学报》2011年第3期324-328,共5页Transactions of Beijing Institute of Technology

基　　金：国家自然科学基金资助项目(70471063;70771010)

摘　　要：为了解决模糊不确定环境中的对策问题,建立了基于公理化的可能性测度理论,给出了可能性空间.在可能性空间中研究对策问题,使对模糊矩阵对策的研究建立在公理化理论的基础上.定义了基于不同目标的模糊矩阵对策模型,将这些模型通过公理化的可能性测度理论转化为数学规划问题,并给出了Nash均衡策略的存在性及求解方法.Possibility space is presented based on axiomatic possibility measures theory.Then,we investigate games with fuzzy payoffs in the possibility space and do our work based on the axiomatic theory.The models about fuzzy matrix games are established for different objectives and these models are transformed into mathematic programming through the axiomatic possibility measures theory.Several concepts of equilibrium strategies are put forward with respect to fuzzy matrix games and the propositions about the equilibrium strategies are explored.

关 键 词：可能性测度 二人零和对策 可能性均衡策略 

分 类 号：N945[自然科学总论—系统科学]