一类模糊合作博弈及其核心  

Cores of a Class of Fuzzy Cooperative Games

作　　者：王锋叶[1] 黄志勇[1] 尚有林[1] 陈鹏[1] 

机构地区：[1]河南科技大学数学与统计学院,河南洛阳471023

出　　处：《河南科技大学学报（自然科学版）》2014年第1期75-78,7,共4页Journal of Henan University of Science And Technology:Natural Science

基　　金：国家自然科学基金项目(10971053);河南省教育厅自然基金项目(12B110007)

摘　　要：基于经典的具有无限多局中人的合作博弈,定义了具有Choquet积分形式的模糊合作博弈,讨论了所定义模糊合作博弈的单调性、超可加性及缺原子性等性质,证明了这类模糊合作博弈的核心的存在性及其表示形式。Based on crisp cooperative games with infinite players,a class of fuzzy cooperative games with Choquet integral form was proposed. The properties of the fuzzy cooperative games were discussed,such as monotonity,superadditivity and non-atom. The existence and integral form of the core of the class of fuzzy cooperative games were proven.

关 键 词：模糊合作博弈 CHOQUET积分 核心 

分 类 号：O225[理学—运筹学与控制论]