On fuzzy congruence relation in residuated lattices

In this paper, we characterize some properties of fuzzy congruence relations and obtain a fuzzy congruence relation generated by a fuzzy relation in residuated lattices. For this purpose, two various types of fuzzy relations (regular and irregular) are introduced. In order to obtain a fuzzy congruen...

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Published inProyecciones (Antofagasta) Vol. 42; no. 5; pp. 1335 - 1353
Main Authors Khosravi Shoar, S., Borumand Saeid, A.
Format Journal Article
LanguageEnglish
Portuguese
Published Universidad Católica del Norte, Departamento de Matemáticas 01.10.2023
Subjects
MATHEMATICS
residuated lattices
fuzzy congruence relation
fuzzy relation
fuzzy equivalence relation
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Summary:In this paper, we characterize some properties of fuzzy congruence relations and obtain a fuzzy congruence relation generated by a fuzzy relation in residuated lattices. For this purpose, two various types of fuzzy relations (regular and irregular) are introduced. In order to obtain a fuzzy congruence relation generated by an irregular fuzzy relation it must convert to a regular fuzzy relation.
ISSN:0717-6279
0716-0917
0717-6279
DOI:10.22199/issn.0717-6279-5359