Why Triangular Membership Functions Work Well in F-Transform: A Theoretical Explanation
Jaime Nava, Владик Крейнович · scholarworks - UTEP (The University of Texas at El Paso) · 2013
In many practical applications, it is useful to represent a signal or an image by its average values on several fuzzy sets. The corresponding F-transform technique has many useful applications in signal and im-age processing. In principle, we can use different membership functions. Somewhat surprisingly, in many applications, the best results occur when we use triangular membership functions. In this paper, we provide a pos-sible theoretical explanation for this empirical phenomenon. 1 Triangular Membership Functions Work Well