Hexadecagonal Fuzzy Numbers: Novel Ranking and Defuzzification Techniques for Fuzzy Matrix Game Problems

Abstract

With the help of various different representations of a hexadecagonal fuzzy number, this paper investigates the uncertainty associated with ambiguity and imprecision in the results of 16-component game scenarios. Numerous membership functions for alpha-cuts are established in terms of symmetrical and asymmetrical situations. We look at the centroid methodology, as well as the mean of the alpha-cut technique, the mean of the bounded area removal method and the bounded area included by the fuzzy number. A new centroid-based technique is used to rank two hexadecagonal fuzzy numbers. Defuzzification approaches have also been used to numerical examples based on fuzzy game theory in order to illustrate the effectiveness of the techniques.

Keywords

• Hexadecagonal Fuzzy Number
• Defuzzification
• Ranking
• Fuzzy Matrix Game