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Open AccessArticle
A Unified Framework for the Upper and Lower Discretizations of Fuzzy Implications
by
Songsong Dai
Songsong Dai
School of Artificial Intelligence, Taizhou University, Taizhou 318000, China
Axioms 2026, 15(1), 19; https://doi.org/10.3390/axioms15010019 (registering DOI)
Submission received: 28 November 2025
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Revised: 21 December 2025
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Accepted: 25 December 2025
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Published: 26 December 2025
Abstract
In this paper, we investigate the discretization of fuzzy implications using rounding functions. Our discretization method is a unified framework of the upper and lower discretization methods of Munar-Covas et al. Furthermore, we examine the extent to which the essential properties of these fuzzy implications are preserved in our discretization process.
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MDPI and ACS Style
Dai, S.
A Unified Framework for the Upper and Lower Discretizations of Fuzzy Implications. Axioms 2026, 15, 19.
https://doi.org/10.3390/axioms15010019
AMA Style
Dai S.
A Unified Framework for the Upper and Lower Discretizations of Fuzzy Implications. Axioms. 2026; 15(1):19.
https://doi.org/10.3390/axioms15010019
Chicago/Turabian Style
Dai, Songsong.
2026. "A Unified Framework for the Upper and Lower Discretizations of Fuzzy Implications" Axioms 15, no. 1: 19.
https://doi.org/10.3390/axioms15010019
APA Style
Dai, S.
(2026). A Unified Framework for the Upper and Lower Discretizations of Fuzzy Implications. Axioms, 15(1), 19.
https://doi.org/10.3390/axioms15010019
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