Symmetrical Piecewise Linear Functions Composed by Absolute Value Function
31 gru 2023
O artykule
Data publikacji: 31 gru 2023
Zakres stron: 299 - 308
Przyjęty: 18 gru 2023
DOI: https://doi.org/10.2478/forma-2023-0024
Słowa kluczowe
© 2023 Takashi Mitsuishi, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
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.