Geodesic
Alternative model of fuzzy NTU coalitional game
Kybernetika, Tome 39 (2003) no. 3, pp. 265-274
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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.
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.
Classification : 03E72, 91A12
Keywords: coalitional games; non-transferable utility; fuzzy quantity; fuzzy cooperative game; core of a game; superadditivity 
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Mareš, Milan; Vlach, Milan. Alternative model of fuzzy NTU coalitional game. Kybernetika, Tome 39 (2003) no. 3, pp. 265-274. http://geodesic.mathdoc.fr/item/KYB_2003_39_3_a0/

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