Solidarity Value and Solidarity Share Functions for TU Fuzzy Games. (15th April 2018)

• Record Type: Journal Article
• Authors: Biswakarma, Rajib; Borkotokey, Surajit; Mesiar, Radko
• Other Names: Kumar Amit Academic Editor.
• Is Part Of: Advances in fuzzy systems. Volume 2018(2018)
• Publication Date: 2018-04-15
• Subjects: Fuzzy systems -- Periodicals; Systèmes flous; Fuzzy systems; Periodicals; 511.313
• DOI: 10.1155/2018/3502949
• Languages: English
• ISSNs: 1687-7101

Abstract

Abstract : TU games under both crisp and fuzzy environments describe situations where players make full (crisp) or partial (fuzzy) binding agreements and generate worth in return. The challenge is then to decide how to distribute the profit among them in a rational manner: we call this a solution. In this paper, we introduce the notion of solidarity value and the solidarity share function as a suitable solution to TU fuzzy games. Two special classes of TU fuzzy games, namely, TU fuzzy games in Choquet integral form and in multilinear extension form, are studied and the corresponding solidarity value and the solidarity share functions are characterized.