The supreme-consistent value for fuzzy transferable-utility games: Alternative formulation, dynamic process and axiomatizations¹

Article type: Research Article

Authors: Liao, Yu-Hsien^*

Affiliations: Department of Applied Mathematics, National Pingtung University, Pingtung, Taiwan

Correspondence: [*] Corresponding author. Yu-Hsien Liao, Department of Applied Mathematics, National Pingtung University, Pingtung 900, Taiwan. Tel.: +886 8 766 3800 33355; Fax: +886 8 721 3490; E-mail: [email protected].

Note: [1] The author is grateful to the editor, the associate editor and the anonymous referees for very helpful suggestions and comments.

Abstract: In the framework of fuzzy transferable-utility games, we adopt excess functions to propose alternative formulation and related dynamic process for the supreme-consistent value. In order to investigate the rationality for allocation mechanisms, we characterize the supreme-consistent value by means of different properties.

Keywords: Fuzzy transferable-utility games, the supreme-consistent value, excess function, dynamic process

DOI: 10.3233/JIFS-161317

Journal: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 1, pp. 137-143, 2017