The fuzzy core in games with fuzzy coalitions

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:230

Article

Yu, Xiaohui¹  Zhang, Qiang¹ 

[1] Beijing Inst Technol, Sch Management & Econ, Beijing 100081, Peoples R China

关键词: Cooperative game;    Fuzzy coalition;    Core;    Shapley value;   

DOI  :  10.1016/j.cam.2008.11.004

来源: Elsevier

【 摘 要 】

In this paper, the fuzzy core of games with fuzzy coalition is proposed, which can be regarded as the generalization of crisp core. The fuzzy core is based on the assumption that the total worth of a fuzzy coalition will be allocated to the players whose participation rate is larger than zero. The nonempty condition of the fuzzy core is given based on the fuzzy convexity. Three kinds of special fuzzy cores in games with fuzzy coalition are studied, and the explicit fuzzy core represented by the crisp core is also given. Because the fuzzy Shapley value had been proposed as a kind of solution for the fuzzy games, the relationship between fuzzy core and the fuzzy Shapley function is also shown. Surprisingly, the relationship between fuzzy core and the fuzzy Shapley value does coincide, as in the classical case. (C) 2008 Elsevier B.V. All rights reserved.

【 授权许可】

Free