fuzzy medial filters of pseudo be-algebras

In this paper, the notion of fuzzy medial filters of a pseudo be-algebra is defined, and some of the properties are investigated. we show that the set of all fuzzy medial filters of a pseudo be-algebra is a complete lattice. moreover, we state that in commutative pseudo be-algebras fuzzy filters and fuzzy medial filters coincide. finally, the notion of a fuzzy implicative filter is introduced and proved that every fuzzy implicative filter is a fuzzy medial filter, but the converse is not valid in general.