On hesitant fuzzy filters in BE-algebras

摘要

The notions of hesitant fuzzy subalgebras and hesitant fuzzy filters are introduced and related properties are investigated. Relations between a hesitant fuzzy subalgebras and a hesitant fuzzy filters are discussed. The problem of classifying hesitant fuzzy filters by their gamma-inclusive filter will be solved. Given a special set, we provide conditions for this set to be a hesitant fuzzy filter.