Normal ideals in generalized almost distributive fuzzy lattices

摘要

In this paper we introduced the concept of Generalized Almost Distributive Fuzzy Lattices (GADFLs) as a Generalization of an Almost distributive Fuzzy Lattices (ADFLs). The concept of Normal ideal is introduced, and some results are proved. In addition, for any two normal ideal N and M of GADFL, then N ∩ M and N ∪ M of normal ideals are also a normal ideal in GADFL. Finally prove the result fuzzy homomorphism preserving normal ideal into normal ideal.