Applications of N -structures in implicative filters of BE-algebras

Abstract

Abstract

In this paper, we formulate the notion of N-fuzzy filters in a BE-algebras and discussed some connected assets. We define N-fuzzy filter, N-Level filters, N-fuzzy implicative filter and their results. We discuss a characterization of N-fuzzy implicative filters of a BE-algebras in terms of N-fuzzy level filters. We also observe that every N-fuzzy implicative filter of a BE-algebra is a N-fuzzy filter but the converse is not true in general. We give some equivalent conditions of N-fuzzy filter of a BE-algebra to become a N-fuzzy implicative filter. An extension property of N-fuzzy implicative filters is also studied. The properties of homomorphic images of N-fuzzy implicative filters are studied. Finally, we study some properties of the cartesian product of N-fuzzy implicative filters in BE-algebras.