Solutions for generalized interval cooperative games

被引：4

作者：

Guan, Fei ^{[1
,2
]}

Xie, Dengyuan ^{[1
]}

Zhang, Qiang ^{[1
]}

机构：

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

[2] Hebei Univ Sci & Technol, Sch Econ & Management, Hebei, Peoples R China

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2015年 / 28卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Interval cooperative games; interval imputation; interval core; interval dominance core; SHAPLEY FUNCTION; FUZZY;

D O I：

10.3233/IFS-141438

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, by a new ranking method of interval numbers which has a total order, interval cooperative games and some relevant definitions are firstly redefined, two important theorems are presented respectively to discuss the existence of the interval core and to prove the relations between the interval core and the interval dominance core. Then on the condition that the profit value of any coalition is not fully used to allocate, a generalized interval cooperative game and its solution concepts, such as generalized interval core, generalized interval dominance core are proposed. Further more, some extended theorems to discuss the existence and the relations about its solution concepts are developed. Finally, by a specific example, the reasonableness and validity of the above theoretical notions are verified.

引用

页码：1553 / 1564

页数：12

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