A Unified Framework for the Upper and Lower Discretizations of Fuzzy Implications

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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Publication Details

Journal
Axioms
Published
2025-12-26
DOI
https://doi.org/10.3390/axioms15010019
Primary Topic
Multi-Criteria Decision Making
Type
article
Field-Weighted Citation Impact
0.00

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article

A Unified Framework for the Upper and Lower Discretizations of Fuzzy Implications

Songsong Dai
Axioms
Multi-Criteria Decision Making
article

A Unified Framework for the Upper and Lower Discretizations of Fuzzy Implications

Songsong Dai
article en

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.

AxiomsVol. 15(1)
Taizhou University (CN)
National Natural Science Foundation of China, Natural Science Foundation of Zhejiang Province
Openalex Percentile: Top 28%
Multi-Criteria Decision Making
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A Unified Framework for the Upper and Lower Discretizations of Fuzzy Implications — Songsong Dai · Axioms (2025) | TGRS Research Map | TGRS