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Fuzzy Sets in Decision Analysis, Operations Research and Statistics

Volume 1 of the series The Handbooks of Fuzzy Sets Series pp 137-176

Elements of Fuzzy Game Theory

  • Antoine Billot

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Abstract

This chapter presents in a first section the intuitional relationships between games and fuzziness; then, in a second section, we propose some arguments to justify and illustrate the two main concepts of fuzzy information and fuzzy coalition, on which cooperative and noncooperative analyses are founded; next, in the two following sections, we develop the noncooperative framework essentially from Butnariu’s contributions, gathering the literature and presenting the results, and finally the cooperative model essentially from Aubin’s works, Hüsseinov’s and Billot’s.