Abstract
The aim of this paper is to introduce fuzzy ideals and fuzzy (weak) congruence relations of L -algebras. We give a sufficient and necessary condition for a fuzzy set to be a fuzzy ideal of an L -algebra. After obtaining a necessary condition for a fuzzy set to be a fuzzy ideal of L -algebras, we construct an example to show that the condition is not sufficient. For CKL -algebras, however, we prove that it is both necessary and sufficient. Then we give a process to generate a fuzzy ideal by a fuzzy set of CKL -algebras. Finally, we establish a correspondence between fuzzy ideals and fuzzy weak congruence relations of L -algebras, and get homomorphism theorems induced by fuzzy congruence relations.
Published Version
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