Superadditivity in general fuzzy coalition games
Kybernetika (2000)
- Volume: 36, Issue: 3, page [265]-277
- ISSN: 0023-5954
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topMareš, Milan. "Superadditivity in general fuzzy coalition games." Kybernetika 36.3 (2000): [265]-277. <http://eudml.org/doc/33483>.
@article{Mareš2000,
abstract = {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.},
author = {Mareš, Milan},
journal = {Kybernetika},
keywords = {coalition game theory; fuzzy set; coalition game theory; fuzzy set},
language = {eng},
number = {3},
pages = {[265]-277},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Superadditivity in general fuzzy coalition games},
url = {http://eudml.org/doc/33483},
volume = {36},
year = {2000},
}
TY - JOUR
AU - Mareš, Milan
TI - Superadditivity in general fuzzy coalition games
JO - Kybernetika
PY - 2000
PB - Institute of Information Theory and Automation AS CR
VL - 36
IS - 3
SP - [265]
EP - 277
AB - 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.
LA - eng
KW - coalition game theory; fuzzy set; coalition game theory; fuzzy set
UR - http://eudml.org/doc/33483
ER -
References
top- Butnariu D., Klement E. P., Triangular Norm–Based Measures and Games with Fuzzy Coalitions, Kluwer, Dordrecht 1993 Zbl0804.90145MR2867321
- Klir G. J., (eds.), Bo Yuan, Fuzzy Sets, Fuzzy Logic, and Fuzzy Systems, Selected Papers by Lotfi A. Zadeh. World Scientific, Singapore – London – New Jersey 1996 MR1409148
- Mareš M., Additivity in general coalition games, Kybernetika 14 (1978), 5, 350–368 (1978) MR0512003
- Mareš M., Computation Over Fuzzy Quantities, CRC–Press, Boca Raton 1994 Zbl0859.94035MR1327525
- Mareš M., 10.1016/S0165-0114(97)00136-X, Fuzzy Sets and Systems 91 (1997), 2, 143–154 (1997) MR1480041DOI10.1016/S0165-0114(97)00136-X
- Mareš M., Additivities in fuzzy coalition games with side–payments, Kybernetika 35 (1999), 2, 149–166 (1999) MR1690942
- Mareš M., Superadditivity in fuzzy extensions of coalition games, Tatra Mountains Math. Journal 16 (1999), 6, 109–116 (1999) Zbl0945.91004MR1725288
- Mareš M., Fuzzy coalitions structures, Fuzzy Sets and Systems, to appear
- Novák V., Fuzzy Sets and Their Applications, A. Hilger, Bristol 1989 Zbl0961.94500MR1019090
- Rosenmüller J., The Theory of Games and Markets, North–Holland, Amsterdam 1982 Zbl0464.90089
- Zadeh L. A., 10.1016/S0019-9958(65)90241-X, Inform. and Control 8 (1965), 3, 338–353 (1965) Zbl0139.24606MR0219427DOI10.1016/S0019-9958(65)90241-X
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