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Contributions to Game Theory and Management, 2020, Volume 13, Pages 121–131 (Mi cgtm361)  

Games with fuzzy payment matrix

Vladimir G. Chernov

Vladimir State University named after Alexander Grigorievich and Nikolai Grigorievich Stoletovs (VlSU), Department of Computer Engeneering and Control Systems, Gorky str. 87, Vladimir, 600000, Russia
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Abstract: We consider a method for solving an antagonistic game with a fuzzy payment matrix based on converting fuzzy estimates of the consequences of possible strategies into an integral estimate in the form of an equivalent fuzzy set with a triangular membership function. The method does not impose restrictions on the type of membership functions for fuzzy elements of the payment.
Keywords: fuzzy set, fuzzy number, membership function, fuzzy payment matrix.
Document Type: Article
Language: English
Citation: Vladimir G. Chernov, “Games with fuzzy payment matrix”, Contributions to Game Theory and Management, 13 (2020), 121–131
Citation in format AMSBIB
\Bibitem{Che20}
\by Vladimir~G.~Chernov
\paper Games with fuzzy payment matrix
\jour Contributions to Game Theory and Management
\yr 2020
\vol 13
\pages 121--131
\mathnet{http://mi.mathnet.ru/cgtm361}
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  • https://www.mathnet.ru/eng/cgtm/v13/p121
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