区间合成模糊对策  

Interval Compound Fuzzy Games

作　　者：孟凡永[1] 张强[1] 

机构地区：[1]北京理工大学管理与经济学院,北京100081

出　　处：《模糊系统与数学》2010年第1期137-144,共8页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(70771010)

摘　　要：给出了一种新的合成模糊对策模型——区间合成模糊对策,研究了区间合成模糊对策的区间稳定集、区间核心、区间Shapley值、区间Banzhaf-Coleman势指标以及与子区间模糊对策的关系。区间合成模糊对策作为一种特殊的模糊数合成模糊对策,对于研究其它具有模糊数的模糊合成对策有一定的参考价值。A new model of compound fuzzy games that is called interval compound fuzzy games is given, the interval stable set, interval core, interval Shapley value, interval Banzhaf-Coleman power index of interval compound fuzzy games are studied in detail, moreover the relationship between the interval stable set, interval core, interval Shapley value, interval Banzhaf-Coleman power index of interval compound fuzzy games and its subset are discussed. Since interval compound fuzzy games is a special kind of fuzzy numbers compound fuzzy games, the results of this paper have some values for the research of compound fuzzy games with other fuzzy games.

关 键 词：区间模糊对策 区间稳定集 区间核心 区间Shapley值 区间Banzhaf—Coleman势指标 

分 类 号：O225[理学—运筹学与控制论] O159[理学—数学]