A New Class of Cooperative Fuzzy Games on Choquet Integral

2012 ◽  
Author(s):  
Fengye Wang ◽  
Zhiyong Huang ◽  
Youlin Shang
Keyword(s):  
Choquet Integral ◽  
New Class ◽  
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.

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

scholarly journals Solidarity Value and Solidarity Share Functions for TU Fuzzy Games

2018 ◽  
Vol 2018 ◽  
pp. 1-9
Author(s):  
Rajib Biswakarma ◽  
Surajit Borkotokey ◽  
Radko Mesiar
Keyword(s):  
Choquet Integral ◽  
Integral Form ◽  
Tu Games ◽  
Suitable Solution ◽  
Multilinear Extension ◽  
Fuzzy Games ◽  
Special Classes

TU games under both crisp and fuzzy environments describe situations where players make full (crisp) or partial (fuzzy) binding agreements and generate worth in return. The challenge is then to decide how to distribute the profit among them in a rational manner: we call this a solution. In this paper, we introduce the notion of solidarity value and the solidarity share function as a suitable solution to TU fuzzy games. Two special classes of TU fuzzy games, namely, TU fuzzy games in Choquet integral form and in multilinear extension form, are studied and the corresponding solidarity value and the solidarity share functions are characterized.

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
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