%0 Journal Article %T FUZZY MEDIAL FILTERS OF PSEUDO BE-ALGEBRAS %J Journal of Algebraic Systems %I Shahrood University of Technology %Z 2345-5128 %A Rezaei, A. %D 2021 %\ 09/01/2021 %V 9 %N 1 %P 61-82 %! FUZZY MEDIAL FILTERS OF PSEUDO BE-ALGEBRAS %K (commutative) (pseudo) BE-algebra %K (fuzzy) medial filter %K (fuzzy) implicative filter %R 10.22044/jas.2020.9477.1464 %X 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, and we show that the converse is not valid in general. %U https://jas.shahroodut.ac.ir/article_2055_7e0029984b4c30549134146033ebb382.pdf