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Authors: Litsa Alexandra and Sbabou Samir

Affiliation: University of Caen, France

ISBN: 978-989-8565-33-4

ISSN: 2184-2825

Keyword(s): Fuzzy Singleton Congestion Games, Fuzzy Nash Equilibria, Topsis, Fuzzy Number, Weight.

Related Ontology Subjects/Areas/Topics: Approximate Reasoning and Fuzzy Inference ; Artificial Intelligence ; Computational Intelligence ; Fuzzy Systems ; Fuzzy Systems Design, Modeling and Control ; Learning and Adaptive Fuzzy Systems ; Mathematical Foundations: Fuzzy Set Theory and Fuzzy Logic ; Soft Computing

Abstract: In traditional game theory, the players attempt to maximize their utility functions. However, in real world there are many situations where payoffs have uncertainty and are fuzzy in nature. In this paper, we analyze fuzzy singleton congestion games with fuzzy payoff functions using tools from fuzzy set theory. We model this kind of games and we employ the ‘technique for order performance by similarity to ideal solution’ with fuzzy data in order to rank fuzzy payoffs, and consequently alternatives, with respect to multiple criteria. Based on this ranking we find possible solutions of these games which correspond to fuzzy Nash equilibria. Our method is adequate to model real-life situations, where players make more subtle decisions.

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Paper citation in several formats:
Alexandra, L. and Samir, S. (2012). Fuzzy Singleton Congestion Games. In Proceedings of the 4th International Joint Conference on Computational Intelligence - Volume 1: FCTA, (IJCCI 2012) ISBN 978-989-8565-33-4 ISSN 2184-2825, pages 377-382. DOI: 10.5220/0004106803770382

@conference{fcta12,
author={Litsa Alexandra. and Sbabou Samir.},
title={Fuzzy Singleton Congestion Games},
booktitle={Proceedings of the 4th International Joint Conference on Computational Intelligence - Volume 1: FCTA, (IJCCI 2012)},
year={2012},
pages={377-382},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004106803770382},
isbn={978-989-8565-33-4},
issn={2184-2825},
}

TY - CONF

JO - Proceedings of the 4th International Joint Conference on Computational Intelligence - Volume 1: FCTA, (IJCCI 2012)
TI - Fuzzy Singleton Congestion Games
SN - 978-989-8565-33-4
IS - 2184-2825
AU - Alexandra, L.
AU - Samir, S.
PY - 2012
SP - 377
EP - 382
DO - 10.5220/0004106803770382

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