Abstract:

Firstly, the concept of fuzzy implicational ideals of WBR₀-algebras was proposed, some basic properties were discussed and some characterizations were obtained. Secondly, the notions of fuzzy congruences were defined, the relationships between fuzzy implicational ideals and fuzzy congruences were established. Lastly, the quotient algebra was induced by the fuzzy ideal and the homomorphism fundamental theorem was given.

Key words: WBR₀-algebra, fuzzy implicational ideal, fuzzy congruence, quotient algebra