Disjointness of Fuzzy Coalitions (Discussion)

0317426 - ÚTIA 2009 CZ eng I - Internal Report
Mareš, Milan - Vlach, M.
Disjointness of Fuzzy Coalitions (Discussion).
Praha: ÚTIA AV ČR, 2008. 11 s. Interní publikace DAR-ÚTIA, 2008/9.
R&D Projects: GA MŠMT 1M0572
Institutional research plan: CEZ:AV0Z10750506
Keywords : cooperative games * fuzzy coalition * superadditivity
Subject RIV: BB - Applied Statistics, Operational Research
http://library.utia.cas.cz/separaty/2008/E/mares-disjointness of fuzzy coalitions.pdf

The cooperative games with fuzzy coalitions in which some players act in a coalition only with a fraction of their total “power” (endeavor, investments, material, etc.) or in which they can distribute their “power” in more coalitions, are connected with some formal or interpretational problems. Some of these problems can be avoided if we interpret each fuzzy coalition as a fuzzy class of crisp coalitions, as shown in [9, 10, 11]. In this paper, the relation between this model of fuzziness and the original one (in which a fuzzy coalition is a fuzzy set of players) is elucidated, and properties of the model are analyzed and briefly interpreted. The analysis is focused on the concept of disjointness of fuzzy coalitions and its role in the study of superadditivity of games with fuzzy coalitions. In particular, three variants of disjointness are introduced and their consistency is discussed.
Permanent Link: http://hdl.handle.net/11104/0167076