Abstract
This paper proposes a new method for solving a two-person zero-sum fuzzy matrix game with goals, payoffs, and decision variables represented as triangular fuzzy rough numbers. We created a pair of fully fuzzy rough linear programming problems for players. Triangular fuzzy rough numbers can be used to formulate two fuzzy linear programming problems for the first player in the form of upper approximation intervals and lower approximation intervals. Two problems for the second player can be created in the same way. These problems have been split into five sub-crisp problems for the player first and five sub-crisp problems for the player second. The solution to the game can be obtained by solving these ten fuzzy linear programming problems. To demonstrate the method, a numerical example is provided. Using Wolfram Cloud, optimal strategies and game values are calculated for various parameters. Sensitivity analysis is carried out by altering the values of parameters.
Recommended Citation
Jangid, Vinod; Kumar, Ganesh; Sharama, Gaurav; and Mishra, Vishnu Narayan
(2022).
(R1976) A Novel Approach to Solve Fuzzy Rough Matrix Game with Two Players,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 18,
Iss.
2, Article 11.
Available at:
https://digitalcommons.pvamu.edu/aam/vol18/iss2/11