Type-2 Fuzzy Analysis Explains Ubiquity of Triangular and Trapezoid Membership Functions

Authors

Olga Kosheleva, The University of Texas at El PasoFollow
Vladik Kreinovich, The University of Texas at El PasoFollow
Shahnaz Shahbazova, Azerbaijan Technical UniversityFollow

Publication Date

1-2018

Comments

Technical Report: UTEP-CS-18-05

To appear in Proceedings of the World Conference on Soft Computing, Baku, Azerbaijan, May 29-31, 2018.

Abstract

In principle, we can have many different membership functions. Interestingly, however, in many practical applications, triangular and trapezoidal membership functions are the most efficient ones. In this paper, we use fuzzy approach to explain this empirical phenomenon.