Fuzzy Weak Hyper Filters of Hyper BE-Algebras

Abstract

The aim of this work is to introduce the notion of fuzzy weak hyper filters in hyper BE-algebras and investigate some of their properties. This research shows that the set of all fuzzy weak hyper filters of hyper BE-algebras is a distributive complete lattice. Also, the concepts of Noetherian hyper BE-algebras and Artinian hyper BE-algebras are characterized by their fuzzy weak hyper filters.

Keywords

• : fuzzy hyper filter
• fuzzy weak hyper filter
• be-algebra