Symmetrical Piecewise Linear Functions Composed by Absolute Value Function

Takashi Mitsuishi

doi:10.2478/forma-2023-0024

Abstract

We continue the formal development of the application of piecewise linear functions and centroids in the area of fuzzy set theory. The corresponding piecewise linear functions are symmetrical and composed by absolute function. In this paper we prove that the membership functions of isosceles triangle type and isosceles trapezoid type can be constructed by functions of this type.

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Symmetrical Piecewise Linear Functions Composed by Absolute Value Function

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