The fuzzy bargaining set of cooperative game with fuzzy coalition

被引：4

作者：

Yu, Xiaohui ^{[1
]}

Zhou, Hong ^{[2
]}

Zhang, Xufeng ^{[1
]}

Zhang, Qiang ^{[3
]}

Liu, Yan ^{[1
]}

Pang, Jinhui ^{[4
]}

机构：

[1] Beijing Wuzi Univ, Sch Logist, Beijing 101149, Peoples R China

[2] Beijing Wuzi Univ, Sch Informat, Beijing, Peoples R China

[3] Beijing Inst Technol, Sch Management & Econ, Beijing, Peoples R China

[4] Beijing Inst Technol, Beijing, Peoples R China

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2017年 / 33卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Cooperative game; fuzzy; coalition; bargaining set; core; SHAPLEY FUNCTION; CORE;

D O I：

10.3233/JIFS-162417

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, the fuzzy bargaining set of cooperative game with fuzzy coalition is proposed, which can be regarded as the generalization of crisp bargaining set. The fuzzy bargaining set is based on the assumption that the total worth of a fuzzy coalition will be allocated to the players whose participation rate is larger than zero. Because fuzzy core had been proposed as a kind of solution for the fuzzy games, the relationship between fuzzy bargaining set and fuzzy core is also showed. Surprisingly, the relationship between fuzzy bargaining set and fuzzy core does coincide as in the classical case. The property of fuzzy bargaining set is also analyzed, such as the existence condition of counter-objection.

引用

页码：1757 / 1765

页数：9

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