基于Choquet积分的直觉模糊联盟合作博弈的Shapley值  

Shapley Value for the Intuitionistic Fuzzy Coalition Cooperative Games with Choquet Integral

作　　者：南江霞 关晶 王盼盼 NAN Jiang-xia;GUAN Jing;WANG Pan-pan(School of Mathematics and Computing Science,Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation,Guilin University of ElectronicTechnology Guilin,China,541004)

机构地区：[1]桂林电子科技大学数学与计算科学学院广西高校数据分析与计算重点实验室

出　　处：《运筹与管理》2019年第9期41-46,共6页Operations Research and Management Science

基　　金：国家自然科学基金资金资助项目(71231003,71561008,71461005);广西自然科学基金资金资助项目(2014GXNSFAA118010,2017GXNSFBA1989182,2017GXNFBA198182)

摘　　要：本文针对联盟是直觉模糊集的合作博弈Shapley值进行了研究.通过区间Choquet积分得到直觉模糊联盟合作博弈的特征函数为区间数,并研究了该博弈特征函数性质。根据拓展模糊联盟合作博弈Shapley值的计算方法,得到直觉模糊联盟合作博弈Shapley值的计算公式,该计算公式避免了区间数的减法。进一步证明了其满足经典合作博弈Shapley值的公理性。最后通过数值实例说明本文方法的合理性和有效性。In this paper,Shapley value of the intuitionistic fuzzy coalition cooperative games is studied. Based on the fuzzy interval Choquet integral,the interval characteristic function of the intuitionistic fuzzy coalition cooperative games is obtained,and its properties are studied. Extending the method of Shapley value of fuzzy coalition cooperative game,the formula of Shapley value of intuitionistic fuzzy coalition cooperative game is given. The proposed formula avoids the subtraction of interval numbers and satisfies the axioms of classical cooperative game. Finally,the validity and applicability of the proposed method are illustrated with the numerical example.

关 键 词：合作博弈 直觉模糊联盟 区间Choquet积分 SHAPLEY值 

分 类 号：O225[理学—运筹学与控制论]