Journal article Open Access

Neutrosophic Hesitant Fuzzy Subalgebras and Filters in Pseudo-BCI Algebras

Songtao Shao; Xiaohong Zhang; Chunxin Bo; FLORENTIN SMARANDACHE

The notions of the neutrosophic hesitant fuzzy subalgebra and neutrosophic hesitant fuzzy filter in pseudo-BCI algebras are introduced, and some properties and equivalent conditions are investigated. The relationships between neutrosophic hesitant fuzzy subalgebras (filters) and hesitant
fuzzy subalgebras (filters) is discussed. Five kinds of special sets are constructed by a neutrosophic hesitant fuzzy set, and the conditions for the two kinds of sets to be filters are given. Moreover, the conditions for two kinds of special neutrosophic hesitant fuzzy sets to be neutrosophic hesitant fuzzy
filters are proved.

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