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

doi:10.12005/orms.2019.0197

Operations Research and Management Science ›› 2019, Vol. 28 ›› Issue (9): 41-46.DOI: 10.12005/orms.2019.0197

• Theory Analysis and Methodology Study • Previous Articles Next Articles

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

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 Electronic Technology Guilin, China, 541004

Received:2018-01-28 Online:2019-09-25

基于Choquet积分的直觉模糊联盟合作博弈的Shapley值

南江霞, 关晶, 王盼盼

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,广西桂林 541004

通讯作者: 王盼盼(1992-),女,山东菏泽人,硕士研究生,研究方向:博弈论。
作者简介:南江霞(1978-),女,山西运城人,教授,博士,研究方向:模糊决策与对策;关晶(1993-),女,黑龙江哈尔滨人,硕士研究生,研究方向:博弈论。
基金资助:
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)

Abstract

Abstract: 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.

Key words: cooperative game, intuitionistic fuzzy coalition, Interval Choquet integral, Shapley value

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。

关键词: 合作博弈, 直觉模糊联盟, 区间Choquet积分, Shapley值

CLC Number:

O225

NAN Jiang-xia, GUAN Jing, WANG Pan-pan. Shapley Value for the Intuitionistic Fuzzy Coalition Cooperative Games with Choquet Integral[J]. Operations Research and Management Science, 2019, 28(9): 41-46.

南江霞, 关晶, 王盼盼. 基于Choquet积分的直觉模糊联盟合作博弈的Shapley值[J]. 运筹与管理, 2019, 28(9): 41-46.

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

基于Choquet积分的直觉模糊联盟合作博弈的Shapley值

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