On fuzzy congruence relation in residuated lattices

• Khosravi Shoar, S. ^[2] ; Borumand Saeid, A. ^[1]
  1. [1] Shahid Bahonar University of Kerman

     Shahid Bahonar University of Kerman

     Irán

     
  2. [2] Fasa University.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 42, Nº. 5, 2023, págs. 1335-1353
• Idioma: inglés
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• Resumen

  • 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.