scholarly journals Cooperative Fuzzy Games with a Coalition Structure and Interval Payoffs

2013 ◽  
Vol 6 (3) ◽  
pp. 548-558 ◽  
Author(s):  
Fanyong Meng ◽  
Qiang Zhang ◽  
Yan Wang
Keyword(s):  
Coalition Structure ◽  
Fuzzy Games ◽  
Cooperative Fuzzy Games

scholarly journals Hypercubes and compromise values for cooperative fuzzy games

2004 ◽  
Vol 155 (3) ◽  
pp. 733-740 ◽  
Author(s):  
Rodica Brânzei ◽  
Dinko Dimitrov ◽  
Stef Tijs
Keyword(s):  
Fuzzy Games ◽  
Cooperative Fuzzy Games

scholarly journals The Core and the Related Solution Concepts in Cooperative Fuzzy Games

2000 ◽  
Vol 12 (1) ◽  
pp. 193-202 ◽  
Author(s):  
Masayo TSURUMI ◽  
Tetsuzo TANINO ◽  
Masahiro INUIGUCHI
Keyword(s):  
Solution Concepts ◽  
The Core ◽  
Fuzzy Games ◽  
Cooperative Fuzzy Games

Cooperative Fuzzy Games with Convex Combination Form

2016 ◽  
Vol 33 (01) ◽  
pp. 1650007 ◽  
Author(s):  
Fanyong Meng ◽  
Xiaohong Chen
Keyword(s):  
Convex Combination ◽  
The Other ◽  
New Class ◽  
Shapley Function ◽  
Shapley Values ◽  
Fuzzy Games ◽  
The Difference ◽  
Fuzzy Core ◽  
Cooperative Fuzzy Games ◽  
The Relationship

In this paper, a new class of cooperative fuzzy games named fuzzy games with convex combination form is introduced. This kind of fuzzy games considers two aspects of information. One is the contribution of the players to the associated crisp coalitions; the other is their participation levels. The explicit expression of the Shapley function is given, which is equal to the production of the Shapley function on crisp games and the player participation levels. Meanwhile, the relationship between the fuzzy core and the Shapley function is studied. Surprisingly, the relationship between them does coincide as in crisp case. Furthermore, some desirable properties are researched. Finally, an example is provided to illustrate the difference in fuzzy coalition values and the player Shapley values for four types of fuzzy games.

Aubin cores and bargaining sets for convex cooperative fuzzy games

2010 ◽  
Vol 40 (3) ◽  
pp. 467-479 ◽  
Author(s):  
Wenbo Yang ◽  
Jiuqiang Liu ◽  
Xiaodong Liu
Keyword(s):  
Fuzzy Games ◽  
Bargaining Sets ◽  
Cooperative Fuzzy Games

A Shapley function on a class of cooperative fuzzy games

2001 ◽  
Vol 129 (3) ◽  
pp. 596-618 ◽  
Author(s):  
Masayo Tsurumi ◽  
Tetsuzo Tanino ◽  
Masahiro Inuiguchi
Keyword(s):  
Shapley Function ◽  
Fuzzy Games ◽  
Cooperative Fuzzy Games

scholarly journals Mathematical foundation of general cooperative fuzzy games

1983 ◽  
Vol 35 (1) ◽  
pp. 53-63 ◽  
Author(s):  
Atsushi Yamada ◽  
Shigeru Tsurumi
Keyword(s):  
Mathematical Foundation ◽  
Fuzzy Games ◽  
Cooperative Fuzzy Games
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