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Title: Alternative model of fuzzy NTU coalitional game (English)
Author: Mareš, Milan
Author: Vlach, Milan
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 39
Issue: 3
Year: 2003
Pages: [265]-274
Summary lang: English
Category: math
Summary: One of the possible models of fuzzification of non-transferable utility (NTU) coalitional games was extensively treated in [4]. In this paper, we suggest an alternative structure of fuzzification of the NTU games, where for every coalition a fuzzy class of (generally crisp) sets of its admissible pay-off vectors is considered. It is shown that this model of a fuzzy coalitional game can be represented by a fuzzy class of deterministic NTU games, and its basic concepts like the superadditivity or the core can be transparently introduced by means of that class of games. (English)
Keyword: coalitional games
Keyword: non-transferable utility
Keyword: fuzzy quantity
Keyword: fuzzy cooperative game
Keyword: core of a game
Keyword: superadditivity
MSC: 03E72
MSC: 91A12
idZBL: Zbl 1249.91009
idMR: MR1995729
Date available: 2009-09-24T19:53:24Z
Last updated: 2015-03-23
Stable URL:
Reference: [1] Luce R. D., Raiffa H.: Games and Decisions.Wiley, London – New York 1957 Zbl 1233.91002, MR 0087572
Reference: [2] Mareš M.: General coalition games.Kybernetika 14 (1978), 4, 245–260 MR 0514278
Reference: [3] Mareš M.: Superadditivity in general fuzzy coalition games.Kybernetika 36 (2000), 3, 265–277 MR 1773504
Reference: [4] Mareš M.: Fuzzy Cooperative Games.Cooperation with Vague Expectations. Physica–Verlag, Heidelberg 2002 Zbl 1037.91007, MR 1841340
Reference: [5] Mareš M., Vlach M.: Concept of linear coalition game.Tatra Mountains Math. Publications (to appear)
Reference: [6] Mareš M., Vlach M.: Linear coalitional games and their fuzzy extensions.Internat. J. Uncertainty, Fuzziness and Knowledge-Based Systems (to appear) Zbl 1113.91303, MR 1843262
Reference: [7] Rosenmüller J.: The Theory of Games and Markets.North–Holland, Amsterdam 1982 Zbl 0464.90089


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