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MEMBERS OF RESEARCH CENTER
Research Centre
Data - Algorithms - Decision Making
Data - Algorithms - Decision Making
Established in 2005 under support of MŠMT ČR (project 1M0572)
Publications
Disjointness of Fuzzy Coalitions (Discussion)
Typ:
Internal print
Authors:
Mareš M., Vlach M.
Edition name / line:
Interní publikace DAR-ÚTIA
Volume:
2008/9
Publisher:
ÚTIA AV ČR
Serie:
Praha
Year:
2008
Keywords:
cooperative games, fuzzy coalition, superadditivity
Anotation:
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.