The Shapley function for fuzzy games with fuzzy characteristic functions

被引：1

作者：

Meng, Fanyong ^{[1
]}

Zhao, Jinxian ^{[1
]}

Zhang, Qiang ^{[2
]}

机构：

[1] Qingdao Technol Univ, Sch Management, Qingdao 266033, Peoples R China

[2] Beijing Inst Technol, Sch Management & Econ, Beijing 100081, Peoples R China

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2013年 / 25卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Cooperative fuzzy game; Shapley function; Hukuhara difference; fuzzy number; CORE; COALITIONS; EQUATIONS; SCHEMES;

D O I：

10.3233/IFS-2012-0611

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, we research fuzzy games with fuzzy characteristic functions, where the player participation levels are real numbers in [0, 1], and their payoffs are fuzzy numbers. Based on the Hukuhara difference between fuzzy numbers and the calculating formula of the Shapley function, we discuss a general form of fuzzy games with fuzzy characteristic functions, and study the Shapley function for this kind of fuzzy games. When the given fuzzy game is convex, we research some properties of fuzzy games with fuzzy characteristic functions. Furthermore, we research a special kind of fuzzy games with fuzzy characteristic functions, which is can be seen as an extension of fuzzy games with multilinear extension form. Finally, a numerical example is given.

引用

页码：23 / 35

页数：13

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