模糊结盟合作对策的τ值  

The τ Value of Cooperative Games under Fuzzy Coalition

作　　者：程婕妤[1] 高作峰[1] 张娟[1] 王伟[1] 董立伟[1] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《重庆工学院学报（自然科学版）》2009年第8期71-73,共3页Journal of Chongqing Institute of Technology

基　　金：国家自然科学基金资助项目(70671088);河北省自然科学基金资助项目(A2005000301)

摘　　要：研究了模糊结盟下的合作对策,并定义了模糊结盟下合作对策的τ值,同时讨论了τ值的有效性和对称性等性质,并用有效性,协变性和限制成比例性证明了τ值的存在唯一性.特别指出,模糊结盟下合作对策的τ值是经典合作对策τ值的推广.This paper studies the cooperative games under fuzzy coalition, defines the τ value of the cooperative games under fuzzy coalition, and discusses the properties of the τvalue such as validity and symmetry, and so on. The uniqueness of the value are demonstrated using validity, invariance, minimal right and restricted proportionality property. It is pointed out in particular that the τ value of cooperative games under fuzzy coalition is the generalization of the τ value of classical cooperative games.

关 键 词：模糊对策 模糊结盟 核心 τ值 

分 类 号：O225[理学—运筹学与控制论]