Doubt intuitionistic fuzzy hyper filters in hyper BE-algebras

摘要

The purpose of this study is to apply the intuitionistic fuzzy hyper filters to hyper BE-algebras and to derive the conditions for an intuitionistic fuzzy set to be a doubt intuitionistic fuzzy hyper filter in hyper BE-algebras. The findings of the study establish the notion that an intuitionistic fuzzy set of a hyper BE-algebra is an intuitionistic fuzzy hyper filter if and only if the complement of this intuitionistic fuzzy set is a doubt intuitionistic fuzzy hyper filter. The content of this manuscript also includes the introduction of the notion of doubt intuitionistic fuzzy implicative hyper filter in hyper BE-algebras and some related properties.