On the characterization of fuzzy implications satisfying the laws of left or right contraposition

Fuzzy Sets and Systems 2026 Open access

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Authors: Landerson Bezerra Santiago, Regivan H. N. Santiago, Fernando Neres, Heloisa Frazao
DOI: 10.1016/j.fss.2026.109851
Cited by: 1
References: 19

Abstract

The law of contraposition is one of the most well-known tautologies in classical logic. In addition, there are two other notions of contrapositions: the law of right contraposition and the law of left contraposition. In fuzzy logic, these tautologies are modeled by a fuzzy implication and a fuzzy negation. The characterization of fuzzy implications satisfying the laws of right or left contraposition with respect to an arbitrary fuzzy negation is a problem that has gained attention recently. This article aims to propose characterizations of such implications, presenting necessary and sufficient conditions under which a fuzzy implication satisfies these laws with respect to an arbitrary fuzzy negation.

Fields of Study & Subjects

Fuzzy Systems and Optimization Multi-Criteria Decision Making Advanced Algebra and Logic

Publication details

Journal / source
Fuzzy Sets and Systems
Publisher
Elsevier BV
Volume
534
Pages
109851–109851
Publication date
4 March 2026
Language
EN