Abstract
In agent-based models, agents are expected to coordinate mutual actions – to cooperate. The cooperation among agents is usually described by tools of game theory. In general, the cooperation of autonomous agents is based on information of perspective gain from cooperation. If the gain from cooperation is at least as high as the gain which agents can receive without cooperation, then this situation can be described by tools of superadditive cooperative games. The information received by agents in the case of real-world systems is not deterministic, and the use of more sophisticated tools is required. Hence, the main aim of this paper is to discuss additivity and superadditivity issues in the case of cooperative games with expectations given as Atanassov intuitionistic numbers.
This work was supported by a GACR 18-01246S.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Shoham, Y., Leyton-Brown, K.: Multiagent Systems: Algorithmic, Game-Theoretic, and Logical Foundations. Cambridge University Press, Cambridge (2009)
Zadeh, L.A.: Fuzzy sets. Inf. Control. 8(3), 338–353 (1965). https://doi.org/10.1016/S0019-9958(65)90241-X
Atanassov, K.T.: Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20(1), 87–96 (1986)
Dubois, D., Gottwals, S., Hajek, P., Kacprzyk, J., Prade, H.: Terminological difficulties in fuzzy set theory - the case of ‘intuitionistic fuzzy sets. Fuzzy Sets Syst. 156(3), 485–491 (2005). https://doi.org/10.1016/j.fss.2005.06.001
Li, D.-F.: Decision and Game Theory in Management with Intuitionistic Fuzzy Sets. SFSC, vol. 308. Springer, Heidelberg (2014). https://doi.org/10.1007/978-3-642-40712-3
Çoker, D.: An introduction to intuitionistic fuzzy topological spaces. Fuzzy Sets Syst. 88(1), 81–89 (1997). https://doi.org/10.1016/S0165-0114(96)00076-0
Atanassov, K. T.: Intuitionistic Fuzzy Sets: Theory and Applications. Studies in Fuzziness and Soft Computing. Physica-Verlag, New York (1999). https://doi.org/10.1007/978-3-7908-1876-83
Xu, Z.S., Xia, M.: Induced generalized intuitionistic fuzzy operators. Knowl. Based Syst. 24(2), 197–209 (2011). https://doi.org/10.1016/j.knosys.2010.04.010
Mahapatra, G.S., Roy, T.K.: Intuitionistic fuzzy number and its arithmetic operation with application on system failure. J. Uncertain Syst. 7(2), 92–107 (2013)
Mareš, M.: Weak arithmetics of fuzzy numbers. Fuzzy Sets Syst. 91, 143–153 (1997). https://doi.org/10.1016/S0165-0114(97)00136-X
Xu, Z.S., Yager, R.R.: Some geometric aggregation operators based on intuitionistic fuzzy sets. Int. J. Gen. Syst. 35, 417–433 (2006). https://doi.org/10.1080/03081070600574353
Owen, G.: Game theory, 3rd edn. Academic Press, San Diego (1995)
Mielcová, E.: Core of n-Person transferable utility games with intuitionistic fuzzy expectations. In: Jezic, G., Howlett, R.J., Jain, L.C. (eds.) Agent and Multi-Agent Systems: Technologies and Applications. SIST, vol. 38, pp. 167–178. Springer, Cham (2015). https://doi.org/10.1007/978-3-319-19728-9_14
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer Nature Switzerland AG
About this paper
Cite this paper
Mielcová, E., Perzina, R. (2018). Additivity and Superadditivity in N-Person Cooperative Games with Attanassov Intuitionistic Fuzzy Expectations. In: Saeed, K., Homenda, W. (eds) Computer Information Systems and Industrial Management. CISIM 2018. Lecture Notes in Computer Science(), vol 11127. Springer, Cham. https://doi.org/10.1007/978-3-319-99954-8_32
Download citation
DOI: https://doi.org/10.1007/978-3-319-99954-8_32
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-99953-1
Online ISBN: 978-3-319-99954-8
eBook Packages: Computer ScienceComputer Science (R0)