Ranking fuzzy numbers are important in optimization methods used to solve issues with project deadlines, artificial intelligence, network traffic, data analysis and unpredictable environments in organizational economics, among other things. In pentagonal fuzzy numbers, this study introduces a new fuzzy ranking to solve game problems. Pentagonal fuzzy payoffs are transformed into crisp payoffs using the new ranking approach, and the dominance method is then used to solve the matrix to obtain the optimum strategies. With the use of real-world instances, this suggested technique is also demonstrated and the outcomes are then verified using different rating techniques.