Ranking of Generalized Trapezoidal Fuzzy Numbers by Point of Intersection and its Application in Multi Criteria Decision Making Problems

Abstract

The ranking of fuzzy numbers is essential in real time applications. The new ranking approach for fuzzy numbers that combines the idea of the point of intersection and average of numbers is proposed in the current work for both triangular and trapezoidal numbers. The proposed method involves simple calculations, also ranks the non-normal fuzzy numbers and the crisp numbers. The applicability of the proposed method is demonstrated by solving few numerical cases and illustrate the benefits. Some comparison study has been conducted with few other existing ranking methods.