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.

本文的目的是介绍L-代数的模糊理想和模糊（弱）同余关系。我们给出了模糊集是L代数的模糊理想的充分必要条件。在得到一个模糊集是L-代数的模糊理想的必要条件后，我们构造了一个例子来证明该条件是不充分的。然而，对于CKL -代数，我们证明它既是必要的又是充分的。然后我们给出了一个通过CKL-代数的模糊集产生模糊理想的过程。最后，我们建立了L 的模糊理想与模糊弱同余关系的对应关系-代数，并得到模糊同余关系引起的同态定理。