<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

Published Online: Dec 31, 2023

Page range: 299 - 308

Accepted: Dec 18, 2023

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

Keywords
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

Published Online: Dec 31, 2023

Page range: 299 - 308

Accepted: Dec 18, 2023

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

Keywordsfuzzy set, fuzzy number, centroid

© 2023 Takashi Mitsuishi, published by Sciendo

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

Keywords
fuzzy set, fuzzy number, centroid