On the use of the ranking function approach to solve fuzzy matrix games in a direct way

On the use of the ranking function approach to solve fuzzy matrix games in a direct way

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Article ID: iaor1993298
Country: Netherlands
Volume: 49
Issue: 2
Start Page Number: 193
End Page Number: 203
Publication Date: Jul 1992
Journal: Fuzzy Sets and Systems
Authors: , ,
Keywords: game theory
Abstract:

A general method of solving fuzzy matrix games is presented. This method is suitable when players choose their fuzzy number ranking procedures in a wide class, i.e., that which may be represented by means of a linear ranking functions. In the first case described both players use the same criterion to rank fuzzy numbers and in the second case each player uses different criteria. Several situations of players’ knowledge are analyzed in the second case, and game solutions are provided in all of them.

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