<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

Symmetrical Piecewise Linear Functions Composed by Absolute Value Function

Formalized Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Symmetrical Piecewise Linear Functions Composed by Absolute Value Function"}

We continue the formal development of the application of piecewise linear functions and centroids in the area of fuzzy set theory. The corresponding piecewise...

Symmetrical Piecewise Linear Functions Composed by Absolute Value Function

Online veröffentlicht: 31. Dez. 2023

Seitenbereich: 299 - 308

Akzeptiert: 18. Dez. 2023

DOI: https://doi.org/10.2478/forma-2023-0024

Schlüsselwörter
fuzzy set, fuzzy number, centroid

© 2023 Takashi Mitsuishi, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Symmetrical Piecewise Linear Functions Composed by Absolute Value Function

Online veröffentlicht: 31. Dez. 2023

Seitenbereich: 299 - 308

Akzeptiert: 18. Dez. 2023

DOI: https://doi.org/10.2478/forma-2023-0024

Schlüsselwörterfuzzy set, fuzzy number, centroid

© 2023 Takashi Mitsuishi, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Schlüsselwörter
fuzzy set, fuzzy number, centroid