TY - JOUR ID - 2055 TI - FUZZY MEDIAL FILTERS OF PSEUDO BE-ALGEBRAS JO - Journal of Algebraic Systems JA - JAS LA - en SN - 2345-5128 AU - Rezaei, A. AD - Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran. Y1 - 2021 PY - 2021 VL - 9 IS - 1 SP - 61 EP - 82 KW - (commutative) (pseudo) BE-algebra KW - (fuzzy) medial filter KW - (fuzzy) implicative filter DO - 10.22044/jas.2020.9477.1464 N2 - 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. UR - https://jas.shahroodut.ac.ir/article_2055.html L1 - https://jas.shahroodut.ac.ir/article_2055_7e0029984b4c30549134146033ebb382.pdf ER -