Neutrosophic Hesitant Fuzzy Subalgebras and Filters in Pseudo-BCI Algebras

Songtao Shao, Xiaohong Zhang, Chunxin Bo, Florentin Smarandache
2018 Symmetry  
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
more » ... . Moreover, the conditions for two kinds of special neutrosophic hesitant fuzzy sets to be neutrosophic hesitant fuzzy filters are proved.
doi:10.3390/sym10050174 fatcat:gmksqbcp3bf7xaatlcnvdbqkii