In [1], H. S. Kim and Y. H. Kim introduced the notion of a BE-algebra. Ahn and So [2, 3] introduced the notion of ideals in BE-algebras. Ahn et al. [4] fuzzified the concept of BE-algebras and investigated some of their properties. Jun and Ahn [5] provided several degrees in defining a fuzzy implicative filter.
In this paper, we study several degrees in defining a fuzzy positive implicative filter, which is a generalization of a fuzzy filter in BE-algebras.