The Shapley function for fuzzy games with fuzzy characteristic functions

2013 ◽  
Vol 25 (1) ◽  
pp. 23-35 ◽  
Author(s):  
Fanyong Meng ◽  
Jinxian Zhao ◽  
Qiang Zhang
Keyword(s):  
Characteristic Functions ◽  
Shapley Function ◽  
Fuzzy Games ◽  
Fuzzy Characteristic

scholarly journals Generalized Fuzzy Shapley Function for Fuzzy Games

2014 ◽  
Vol 2014 ◽  
pp. 1-14
Author(s):  
Chunqiao Tan ◽  
Xiaohong Chen
Keyword(s):  
Characteristic Function ◽  
Solution Concept ◽  
Axiomatic Characterization ◽  
Hukuhara Difference ◽  
Shapley Function ◽  
Fuzzy Games ◽  
Fuzzy Characteristic

A generalized fuzzy Shapley function for fuzzy games is proposed. First, a game with fuzzy characteristic function is introduced. Based on Hukuhara difference, the fuzzy Hukuhara-Shapley function is proposed as a solution concept to this class of fuzzy games. Some of its properties are shown. An equivalent axiomatic characterization of the fuzzy Hukuhara-Shapley function is given. Furthermore, a generalized fuzzy Shapley function for games with fuzzy coalition and fuzzy characteristic function is developed. It is shown that the simplified expression of the generalized fuzzy Shapley function can be regarded as the generalization of the fuzzy Shapley function defined for some particular games with fuzzy coalition and fuzzy characteristic function.

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.

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

The graph games with fuzzy characteristic functions

2019 ◽  
Vol 36 (4) ◽  
pp. 3851-3856
Author(s):  
Cuiping Nie ◽  
Tao Nie ◽  
Hongxia Sun
Keyword(s):  
Characteristic Functions ◽  
Graph Games ◽  
Fuzzy Characteristic

Cooperative fuzzy games with interval characteristic functions

2015 ◽  
Vol 16 (1) ◽  
pp. 1-24 ◽  
Author(s):  
Fanyong Meng ◽  
Xiaohong Chen ◽  
Chunqiao Tan
Keyword(s):  
Characteristic Functions ◽  
Fuzzy Games ◽  
Cooperative Fuzzy Games
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