Distinctive representations of icosagonal fuzzy numbers along with novel defuzzification techniques for solving fuzzy assignment problems

Abstract

Abstract In this paper, we represent icosagonal fuzzy numbers in a variety ofways, both symmetrically and asymmetrically, linearly and non-linearly as well as single valued and interval -valued. Along with this, we have alsodeveloped some defuzzification procedures with different approaches based on centroidmethod, the mean of alpha-cut method and bounded area method. In order todemonstrate the significance of these strategies, defuzzification approaches can be applied to many optimization problems in operational research. We have applied these strategies to solve the numerical example based on fuzzy assignment problem in the interview board panel with twenty parameters. This study deals with the situation where icosagonal fuzzynumbers are used to represent ambiguous information in the form of linguistic terms. The ranking function for icosagonal number is also proposed in this paper for the better comparison of two icosagonal fuzzy numbers and its primary goal is used in this research for the appropriate allocation to resolve the fuzzy assignment problem.