Publication Date

12-2013

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Technical Report UTEP-CS-13-69

Abstract

In many practical applications, it is useful to represent a signal or an image by its average values on several fuzzy sets. The corresponding {\em F-transform} technique has many useful applications in signal and image 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 possible theoretical explanation for this empirical phenomenon.

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