Fuzzy coalitional core for fuzzy games with coalition structures

Article type: Research Article

Authors: Sun, Hong-Xia

Affiliations: School of Business, Beijing Technology and Business University, Beijing, China

Note: [] Corresponding author. Hong-Xia Sun, School of Business, Beijing Technology and Business University, 100048 Beijing, China. Tel.: +86 10 68985991; Fax: +86 10 68984948; E-mail: [email protected]

Abstract: In the framework of fuzzy games with coalitional structures, the fuzzy coalitional core is proposed, which can be regarded as the generalization of the crisp coalitional core. It proves that the fuzzy coalitional core has the same polyhedrical structure as the crisp coalitional core. To complement this approach an axiomatization of the fuzzy coalitional core is studied using individually rational, consistency, modularity and anti-monotonicity.

Keywords: Cooperative games, coalition structure, fuzzy coalition, core

DOI: 10.3233/IFS-131058

Journal: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 2, pp. 977-986, 2014