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Title: Superadditivity in general fuzzy coalition games (English)
Author: Mareš, Milan
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 36
Issue: 3
Year: 2000
Pages: [265]-277
Summary lang: English
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Category: math
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Summary: The superadditivity and related concepts belong to the fundamental ones in the coalition game theory. Their definition in general coalition games (games without side-payments) is based on the set theoretical approaches. It means that in the case of fuzzy coalition games the set theoretical model can be modified into the fuzzy set theoretical one. In this paper, the coalition games without side-payments and with fuzzy expectations of the pay-offs of players are considered and it is shown that for such games the properties of superadditivity, subadditivity and additivity turn into fuzzy properties. Their relations to their deterministic counterparts are shown and some results regarding their formal structure are derived. (English)
Keyword: coalition game theory
Keyword: fuzzy set
MSC: 90C70
MSC: 91A12
idZBL: Zbl 1249.91008
idMR: MR1773504
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Date available: 2009-09-24T19:32:49Z
Last updated: 2015-03-27
Stable URL: http://hdl.handle.net/10338.dmlcz/135350
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Reference: [8] Mareš M.: Fuzzy coalitions structures.Fuzzy Sets and Systems, to appear
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