%0 Journal Article
%T COALITIONAL GAME WITH FUZZY PAYOFFS AND
CREDIBILISTIC SHAPLEY VALUE
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Gao, Jinwu
%A Zhang, Q.
%A Shen, P.
%D 2011
%\ 10/07/2011
%V 8
%N 4
%P 107-117
%! COALITIONAL GAME WITH FUZZY PAYOFFS AND
CREDIBILISTIC SHAPLEY VALUE
%K Coalitional game
%K Shapley value
%K Fuzzy variable
%K Credibility Measure
%R 10.22111/ijfs.2011.311
%X Coalitional game deals with situations that involve cooperations among players, and there are different solution concepts such as the core,the Shapley value and the kernel. In many situations, there is no way to predict the payoff functions except for the expert experiencesand subjective intuitions, which leads to the coalitional game with fuzzy payoffs. Within the framework of credibility theory, this paper employstwo credibilistic approaches to define the behaviors of players under fuzzy situations. Correspondingly, two variations of Shapley value areproposed as the solutions of the coalitional game with fuzzy payoffs. Meanwhile, some characterizations of the credibilistic Shapley valueare investigated. Finally, an example is provided for illustrating the usefulness of the theory developed in this paper.
%U https://ijfs.usb.ac.ir/article_311_ec8eadf2c503f1494486ac8555956b9a.pdf