A multilinear extension of a class of fuzzy bi-cooperative games

Article type: Research Article

Authors: Borkotokey, Surajit | Hazarika, Pankaj^; | Mesiar, Radko^;

Affiliations: Department of Mathematics, Dibrugarh University, Dibrugarh, India | Department of Mathematics, Dibrugarh University Institute of Engineering and Technology, Dibrugarh, India | Slovak University of Technology, Department of Mathematics, Radlinského Bratislava, Slovakia | Institute of Theory of Information and Automation, Czech Academy of Sciences, Prague, Czech Republic

Note: [] Corresponding author. Surajit Borkotokey, Department of Mathematics, Dibrugarh University, Dibrugarh, 786004, India. E-mails: [email protected] [email protected], [email protected], [email protected]

Abstract: In this paper, a new class of bi-cooperative games with fuzzy bi-coalitions is proposed in multilinear extension form. The extension is shown to be unique. The solution concept discussed in [3] is investigated and characterized for this class of games.

Keywords: Fuzzy sets, bi-cooperative games, bi-coalitions, LG value, fuzzy bi-coalitions

DOI: 10.3233/IFS-141349

Journal: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 2, pp. 681-691, 2015