Neutrosophic Hesitant Fuzzy Subalgebras and Filters in Pseudo-BCI Algebras
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 subal...
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MDPI AG
2018-05-01
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| Series: | Symmetry |
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| Online Access: | http://www.mdpi.com/2073-8994/10/5/174 |
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| author | Songtao Shao Xiaohong Zhang Chunxin Bo Florentin Smarandache |
| author_facet | Songtao Shao Xiaohong Zhang Chunxin Bo Florentin Smarandache |
| author_sort | Songtao Shao |
| collection | DOAJ |
| description | 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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| format | Article |
| id | doaj.art-4fecd9043a604e0d9c9d2bd40654a8a4 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-12-10T08:05:26Z |
| publishDate | 2018-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-4fecd9043a604e0d9c9d2bd40654a8a42022-12-22T01:56:41ZengMDPI AGSymmetry2073-89942018-05-0110517410.3390/sym10050174sym10050174Neutrosophic Hesitant Fuzzy Subalgebras and Filters in Pseudo-BCI AlgebrasSongtao Shao0Xiaohong Zhang1Chunxin Bo2Florentin Smarandache3College of Information Engineering, Shanghai Maritime University, Shanghai 201306, ChinaDepartment of Mathematics, School of Arts and Sciences, Shaanxi University of Science & Technology, Xi’an 710021, ChinaCollege of Information Engineering, Shanghai Maritime University, Shanghai 201306, ChinaDepartment of Mathematics, University of New Mexico, Gallup, NM 87301, USAThe 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.http://www.mdpi.com/2073-8994/10/5/174pseudo-BCI algebrahesitant fuzzy setneutrosophic setfilter |
| spellingShingle | Songtao Shao Xiaohong Zhang Chunxin Bo Florentin Smarandache Neutrosophic Hesitant Fuzzy Subalgebras and Filters in Pseudo-BCI Algebras Symmetry pseudo-BCI algebra hesitant fuzzy set neutrosophic set filter |
| title | Neutrosophic Hesitant Fuzzy Subalgebras and Filters in Pseudo-BCI Algebras |
| title_full | Neutrosophic Hesitant Fuzzy Subalgebras and Filters in Pseudo-BCI Algebras |
| title_fullStr | Neutrosophic Hesitant Fuzzy Subalgebras and Filters in Pseudo-BCI Algebras |
| title_full_unstemmed | Neutrosophic Hesitant Fuzzy Subalgebras and Filters in Pseudo-BCI Algebras |
| title_short | Neutrosophic Hesitant Fuzzy Subalgebras and Filters in Pseudo-BCI Algebras |
| title_sort | neutrosophic hesitant fuzzy subalgebras and filters in pseudo bci algebras |
| topic | pseudo-BCI algebra hesitant fuzzy set neutrosophic set filter |
| url | http://www.mdpi.com/2073-8994/10/5/174 |
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