Date of Publication :15th December 2024

Abstract: The objective of this paper is to define the mathematical model of fermatean fuzzy matrix game, study its properties and develop an innovative algorithm to solve it. These innovative concepts are made lucid through numerical illustrations. The fe rmatean Fuzzy expected payoff function and a new ranking function for fermatean fuzzy number is found. The notion of fermatean fuzzy saddle point is also proposed with fermatean fuzzy minimax dominion algorithm to solve fermatean fuzzy game problem and it is illustrated through two concept of game theory under fermatean theory environment.

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