Aubin core and bargaining set for almost-convex fuzzy cooperative games

Article type: Research Article

Authors: Chen, Gang^; | Zhang, Qiang

Affiliations: School of Management and Economics, Beijing Institute of Technology, Beijing, China | Department of Mathematics, Ningxia University, Yinchuan, Ningxia, China

Note: [] Corresponding author. Gang Chen, Tel.: +8613895010552; E-mail: chen_g@nxu.edu.cn(Gang Chen).

Abstract: In this paper, we introduce the concept of continuous balanced almost-convex cooperative fuzzy game, and prove its bargaining set coincides with its Aubin core, which extends a result by Getán et al. for classical cooperative games to cooperative fuzzy games.

Keywords: Core, Bargaining set, Almost-convex fuzzy game, Convex fuzzy game

DOI: 10.3233/IFS-131104

Journal: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 3, pp. 1375-1380, 2014