Fuzzy games on augmenting systems with fuzzy characteristic functions

2014 ◽  
Vol 27 (1) ◽  
pp. 119-129 ◽  
Author(s):  
Fanyong Meng ◽  
Dongmin Jiang
Keyword(s):  
Characteristic Functions ◽  
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.

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

scholarly journals The Cores for Fuzzy Games Represented by the Concave Integral

2014 ◽  
Vol 2014 ◽  
pp. 1-12
Author(s):  
Jinhui Pang ◽  
Shujin Li
Keyword(s):  
Cooperative Games ◽  
Characteristic Functions ◽  
Game Model ◽  
Explicit Formulas ◽  
The Core ◽  
Concave Integral ◽  
Fuzzy Games ◽  
Fuzzy Game ◽  
Expected Values ◽  
Fuzzy Core

We propose a new fuzzy game model by the concave integral by assigning subjective expected values to random variables in the interval[0,1]. The explicit formulas of characteristic functions which are determined by coalition variables are discussed in detail. After illustrating some properties of the new game, its fuzzy core is defined; this is a generalization of crisp core. Moreover, we give a further discussion on the core for the new games. Some notions and results from classical games are extended to the model. The nonempty fuzzy core is given in terms of the fuzzy convexity. Our results develop some known fuzzy cooperative games.

Fuzzy Multichoice Games with Fuzzy Characteristic Functions

2016 ◽  
Vol 26 (3) ◽  
pp. 565-595 ◽  
Author(s):  
Fanyong Meng ◽  
Qiang Zhang ◽  
Xiaohong Chen
Keyword(s):  
Characteristic Functions ◽  
Multichoice Games ◽  
Fuzzy Characteristic
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