Solution of Rectangular Fuzzy Games by Principle of Dominance Using LR-type Trapezoidal Fuzzy Numbers
This work addresses decision-making problems in management sciences by extending game theory to fuzzy environments, but it appears incremental as it applies existing fuzzy set methods to a specific game type.
The paper tackles solving rectangular fuzzy games with imprecise payoffs using LR-type trapezoidal fuzzy numbers, applying minimax-maximin principles and dominance methods, and demonstrates this through a numerical example.
Fuzzy Set Theory has been applied in many fields such as Operations Research, Control Theory, and Management Sciences etc. In particular, an application of this theory in Managerial Decision Making Problems has a remarkable significance. In this Paper, we consider a solution of Rectangular Fuzzy game with pay-off as imprecise numbers instead of crisp numbers viz., interval and LR-type Trapezoidal Fuzzy Numbers. The solution of such Fuzzy games with pure strategies by minimax-maximin principle is discussed. The Algebraic Method to solve Fuzzy games without saddle point by using mixed strategies is also illustrated. Here, pay-off matrix is reduced to pay-off matrix by Dominance Method. This fact is illustrated by means of Numerical Example.