Cooperative Fuzzy Games with a Coalition Structure and Interval Payoffs

被引：15

作者：

Meng, Fanyong ^{[1
]}

Zhang, Qiang ^{[2
]}

Wang, Yan ^{[3
]}

机构：

[1] Qingdao Technol Univ, Sch Management, Qingdao 266520, Shandong, Peoples R China

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

[3] Cent S Univ, Business Sch, Changsha 410083, Hunan, Peoples R China

来源：

INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS | 2013年 / 6卷 / 03期

基金：

中国国家自然科学基金; 高等学校博士学科点专项科研基金;

关键词：

Cooperative fuzzy game; Coalition structure; Interval Owen value; Extension Hukuhara difference; SHAPLEY FUNCTION; BANZHAF VALUE; OWEN VALUE;

D O I：

10.1080/18756891.2013.795395

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Based on the extension Hukuhara difference between interval numbers, a generalized form of cooperative fuzzy games with a coalition structure and interval payoffs is proposed, which can be seen as an extension of crisp case. The interval Owen value for this kind of fuzzy games is studied, and its explicit form is given. When the fuzzy games are convex, the proposed interval Owen value is an interval population monotonic allocation function (IPMAF), and belongs to the associated core. Furthermore, we discuss a special kind of fuzzy games with a coalition structure and interval payoffs, and study the interval Owen value and the core of it. Some properties are also examined, which are coincided with the crisp case.

引用

页码：548 / 558

页数：11

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