A Fuzzy Owen function on games with coalition structure and fuzzy coalitions

被引：2
作者：
Sun, Hong-xia [1 ]
Zhang, Qiang [2 ]
Wang, Feng [3 ]
Yu, Xiao-hui [4 ]
机构：
[1] Beijing Technol & Business Univ, Business Sch, 33 Fucheng Rd, Beijing, Peoples R China
[2] Beijing Inst Technol, Sch Management & Econ, Beijing, Peoples R China
[3] Shanghai Lixin Univ Accounting & Finance, Coll Business Adm, Room 728,Bldg Xulun,Num 2800,Wenxiang Rd, Shanghai, Peoples R China
[4] Beijing Wuzi Univ, Sch Logist, Beijing, Peoples R China
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2017年 / 33卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Cooperative games; fuzzy coalition; coalition structure; Owen function; SHAPLEY FUNCTION; CORE;
D O I：
10.3233/JIFS-161348
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, a game with coalition structure and fuzzy coalitions is introduced, which can be regarded as an extension of the game with coalition structure. Firstly, an Owen function is defined. Then, the unique explicit form of the Owen function is given by extending the Owen value. Secondly, as an extension of Owen function, a fuzzy Owen function is proposed. In addition, an explicit form of the fuzzy Owen function is given by considering the fuzzy intermediate game with Owen extension form. Finally, an illustrate example is provided to illustrate the allocation method of gains.
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页码：159 / 170
页数：12
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