Affiliations: [a]
Department of Applied Mathematics, National Pingtung University, Pingtung, Taiwan
| [b]
Graduate School of Technological and Vocational Education, National Yunlin University of Science and Technology, Taiwan
Correspondence:
[*]
Corresponding author. Yu-Hsien Liao, Department of Applied Mathematics, National Pingtung University, Pingtung 900, Taiwan. Tel.: +886 8 722 6141; Fax: +886 8 723 4406; E-mail: emailtwincos@ms25.hinet.net.
Note: [1] The authors are grateful to the editor, the associate editor and the anonymous referees for very helpful suggestions and comments.
Abstract: Based on the supreme-utilities among fuzzy sets, we propose the supreme-consistent value. Further, we propose some equivalent relations to axiomatize the family of all fuzzy solutions that admit a potential. Based on these equivalent relations, two axiomatizations of the supreme-consistent value are proposed. By considering an extended reduced game, we also offer an axiomatization and a dynamic process of the supreme-consistent value respectively.
Keywords: The supreme-consistent value, potential, axiomatization, reduced game, dynamic process
