Closure Fuzzy Ideals in Distributive Lattices

Abstract

In this paper, we introduce the concept of closure fuzzy ideals in a distributive lattice. The set of all closure fuzzy ideals of a lattice is isomorphic to the class of fuzzy ideals of the lattice of all dominator ideals. Moreover, a one to one correspondence between the class of all prime closure fuzzy ideals of a lattice and the prime fuzzy ideals of the lattice of all dominator ideals is established.