Triangular Fuzzy Set Composed of Two Intersecting Affine Maps
Abstract
In this article, various properties of triangular membership functions are formally proven, including the relationship between a triangular membership function composed of two straight lines and a MAX function, as well as a triangular membership function defined by the horizontal coordinates of the triangle’s vertices. Furthermore, we formalize defuzzified value of a triangular membership function and the integration of two connected functions.
Language: English
Page range: 137 - 144
Submitted on: Apr 10, 2025
Accepted on: Dec 2, 2025
Published on: Dec 31, 2025
Published by: University of Białystok
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year
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© 2025 Takashi Mitsuishi, published by University of Białystok
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.