Journal
SYMMETRY-BASEL
Volume 10, Issue 5, Pages -Publisher
MDPI
DOI: 10.3390/sym10050174
Keywords
pseudo-BCI algebra; hesitant fuzzy set; neutrosophic set; filter
Categories
Funding
- National Natural Science Foundation of China [61573240, 61473239]
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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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