The grey Shapley value: an axiomatization

4th International Conference on Operational Research

Ekici, M.^1 ; Palanci, O.^2 ; Alparslan Gök, S.Z.^2

Usak University, Faculty of Education, Department of Mathematics and Science Education, Usak

61 200, Turkey^1

Süleyman Demired University, Faculty of Arts and Sciences, Department of Mathematics, Isparta

32 260, Turkey^2

关键词: Axiomatization;    Banzhaf value;    Cooperative game;    Interval grey number;    Shapley value;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/300/1/012082/pdf
DOI  :  10.1088/1757-899X/300/1/012082

来源: IOP

【 摘 要 】

This study focuses on an interesting class of cooperative games where the coalitional values are interval grey numbers. These cooper- ative games are called cooperative grey games. In this paper, we deal with an axiomatization of the grey Shapley value. We introduce the Banzhaf value and the egalitarian rule by using cooperative grey game theory. Finally, we conclude the paper with a conclusion.