FUZZY MEDIAL FILTERS OF PSEUDO BE-ALGEBRAS

Document Type : Original Manuscript

Author

Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran.

Abstract

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.

Keywords

References

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Journal of Algebraic Systems
Volume 9, Issue 1
September 2021
Pages 61-82

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