Minimal Prime Ideals in Generalized Almost Distributive Fuzzy Lattices

Abstract

The Minimal Prime Ideals (MPIs) in Generalized Almost Distributive Fuzzy Lattices are presented in this article (GADFL). In GADFL, we have also deduced certain properties and characteristic theorems of MPIs. Further, we have also derived the following theorems:let  and  be two ideals of GADFL . Then  is a MPI belonging to both  and  and finally, every ideal of GADFL  is the union of all MPIs containing it.