A coalitional value for fuzzy games with a coalition structure

Article type: Research Article

Authors: Meng, Fanyong^{a; b; *}

Affiliations: [a] School of Business, Central South University, Changsha, China | [b] School of Management, Qingdao Technological University, Qingdao, China

Correspondence: [*] Correspondence to: Fanyong Meng. Tel.: +86 18254298903; mengfanyongtjie@163.com

Abstract: In this paper, we shall study another coalitional value for fuzzy games with a coalition structure, which is named the proportional coalitional Shapley value. A generalized form of the proportional coalitional Shapley value for fuzzy games with a coalition structure is considered, which can be regarded as a generalization of crisp case. The axiomatic systems of this value are researched. When the original fuzzy game is fuzzy convex, the relationship between the proportional coalitional Shapley value, the fuzzy quotient core and the fuzzy quotient population monotonic allocation scheme (FQPMAS) is researched.

Keywords: Fuzzy game, coalition structure, proportional coalitional Shapley value

DOI: 10.3233/IFS-151597

Journal: Journal of Intelligent & Fuzzy Systems, vol. 29, no. 1, pp. 315-326, 2015