Authors:
Litsa Alexandra
and
Sbabou Samir
Affiliation:
University of Caen, France
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.