On solving a fuzzy game problem using hexagonal fuzzy numbers

Abstract

Problems with game theory can be found in a variety of fields, including economics, business administration, sociology, political science, military operations, and so on. Fuzzy set theory is an excellent foundation for researching the uncertainty in games. Payoffs are represented by fuzzy shapes in this type of game. Consider the payoff matrix in this research paper as a two-player zero-sum game with infinite values. Fuzzy Hexagonal Numbers are said to be the source of all imprecise values. An approach to solving issues Pascal's triangular graded mean integration was considered to find a solution to the dilemma of the Fuzzy game. By applying Pascal's triangle graded mean integration, we can convert the fuzzy valued game problem into a crisp valued game problem that can be solved using the conventional approach by changing the payoffs.