On fuzzy congruence relation in residuated lattices
Keywords:fuzzy relation, fuzzy equivalence relation, fuzzy congruence relation, 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 congruence relation generated by an irregular fuzzy relation it must convert to a regular fuzzy relation.
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