Generalizations of prime fuzzy ideals of a lattice

As a generalization of the concepts of a fuzzy prime ideal and a prime fuzzy ideal, the concepts of a fuzzy ۲-absorbingideal and a ۲-absorbing fuzzy ideal of a lattice are introduced. Some results on such fuzzy ideals are proved. It is shown that the radical of a fuzzy ideal of L is a ۲-absorbing fuzzy ideal if and only if it is a ۲-absorbing primary fuzzy ideal of L. We also introduce and study these concepts in a product of lattices.