Some Type of Fuzzy Game Problem and its Solutions

Author: Ankesh Karn and A.K. Sah

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Abstract

: In various fields such as Operations Research, Management Sciences, and Control theory the concept of Fuzzy Game Theory has gained significant attention. This paper focuses on the manipulation of triangular fuzzy numbers and offers a method for solving Fuzzy Game Problems that incorporate these types of fuzzy numbers. It outlines the operations involved with triangular fuzzy numbers and demonstrates how they can be effectively applied to game theory scenarios. By applying the minimax-maximin principle in such settings, we aim to provide a structured method for solving Fuzzy Game Problems with a higher degree of certainty in the presence of fuzziness

Keywords

Fuzzy sets, Triangular Fuzzy numbers, Fuzzy ranking, Fuzzy Game problem

Conclusion

This paper presents a straightforward approach to solving fuzzy game problems where the players' strategies are represented by triangular fuzzy numbers. By applying a ranking method to these fuzzy numbers, we convert the fuzzy payoffs into a crisp payoff matrix. Analyzing this matrix reveals the presence of a saddle point, indicating that both players can adopt pure strategies as their optimal choices. In cases where the payoffs remain in fuzzy form, defuzzification techniques, such as the centroid method, are employed to transform the fuzzy values into crisp numbers. Once defuzzified, the game is solved using traditional game theory methods, following the same steps as with crisp payoffs

References

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How to cite this article

Ankesh Karn and A.K. Sah (2025). Some Type of Fuzzy Game Problem and its Solutions. International Journal on Emerging Technologies, 16(1): 110–114