Alternative model of fuzzy NTU coalitional game

Milan Mareš; Milan Vlach

Kybernetika (2003)

  • Volume: 39, Issue: 3, page [265]-274
  • ISSN: 0023-5954

Abstract

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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.

How to cite

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Mareš, Milan, and Vlach, Milan. "Alternative model of fuzzy NTU coalitional game." Kybernetika 39.3 (2003): [265]-274. <http://eudml.org/doc/33639>.

@article{Mareš2003,
abstract = {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.},
author = {Mareš, Milan, Vlach, Milan},
journal = {Kybernetika},
keywords = {coalitional games; non-transferable utility; fuzzy quantity; fuzzy cooperative game; core of a game; superadditivity; coalitional games; non-transferable utility; fuzzy quantity; fuzzy cooperative game; core of a game; superadditivity},
language = {eng},
number = {3},
pages = {[265]-274},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Alternative model of fuzzy NTU coalitional game},
url = {http://eudml.org/doc/33639},
volume = {39},
year = {2003},
}

TY - JOUR
AU - Mareš, Milan
AU - Vlach, Milan
TI - Alternative model of fuzzy NTU coalitional game
JO - Kybernetika
PY - 2003
PB - Institute of Information Theory and Automation AS CR
VL - 39
IS - 3
SP - [265]
EP - 274
AB - 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.
LA - eng
KW - coalitional games; non-transferable utility; fuzzy quantity; fuzzy cooperative game; core of a game; superadditivity; coalitional games; non-transferable utility; fuzzy quantity; fuzzy cooperative game; core of a game; superadditivity
UR - http://eudml.org/doc/33639
ER -

References

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  1. Luce R. D., Raiffa H., Games and Decisions, Wiley, London – New York 1957 Zbl1233.91002MR0087572
  2. Mareš M., General coalition games, Kybernetika 14 (1978), 4, 245–260 (1978) MR0514278
  3. Mareš M., Superadditivity in general fuzzy coalition games, Kybernetika 36 (2000), 3, 265–277 MR1773504
  4. Mareš M., Fuzzy Cooperative Games, Cooperation with Vague Expectations. Physica–Verlag, Heidelberg 2002 Zbl1037.91007MR1841340
  5. Mareš M., Vlach M., Concept of linear coalition game, Tatra Mountains Math. Publications (to appear) 
  6. Mareš M., Vlach M., Linear coalitional games and their fuzzy extensions, Internat. J. Uncertainty, Fuzziness and Knowledge-Based Systems (to appear) Zbl1113.91303MR1843262
  7. Rosenmüller J., The Theory of Games and Markets, North–Holland, Amsterdam 1982 Zbl0464.90089

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