%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