Single-Valued Neutro Hyper BCK-Subalgebras
The purpose of this paper is to introduce the notation of single-valued neutrosophic hyper BCK-subalgebras and a novel concept of neutro hyper BCK-algebras as a generalization and alternative of hyper BCK-algebras, that have a larger applicable field. In order to realize the article’s goals, we cons...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6656739 |
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| author | M. Hamidi F. Smarandache |
| author_facet | M. Hamidi F. Smarandache |
| author_sort | M. Hamidi |
| collection | DOAJ |
| description | The purpose of this paper is to introduce the notation of single-valued neutrosophic hyper BCK-subalgebras and a novel concept of neutro hyper BCK-algebras as a generalization and alternative of hyper BCK-algebras, that have a larger applicable field. In order to realize the article’s goals, we construct single-valued neutrosophic hyper BCK-subalgebras and neutro hyper BCK-algebras on a given nonempty set. The result of the research is the generalization of single-valued neutrosophic BCK-subalgebras and neutro BCK-algebras to single-valued neutrosophic hyper BCK-subalgebras and neutro hyper BCK-algebras, respectively. Also, some results are obtained between extended (extendable) single-valued neutrosophic BCK-subalgebras and single-valued neutrosophic hyper BCK-subalgebras via fundamental relation. The paper includes implications for the development of single-valued neutrosophic BCK-subalgebras and neutro BCK-algebras and for modelling the uncertainty problems by single-valued neutrosophic hyper BCK-subalgebras and neutro hyper BCK-algebras. The new conception of single-valued neutrosophic hyper BCK-subalgebras and neutro hyper BCK-algebras was given for the first time in this paper. We find a method that can apply these concepts in some complex networks. |
| format | Article |
| id | doaj-art-67d441e72d08492497d7d832a20eeec0 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-67d441e72d08492497d7d832a20eeec02025-02-03T01:04:10ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66567396656739Single-Valued Neutro Hyper BCK-SubalgebrasM. Hamidi0F. Smarandache1Department of Mathematics, University of Payame Noor, Tehran, IranMathematics & Science, University of New Mexico, Gallup Campus, Gallup, USAThe purpose of this paper is to introduce the notation of single-valued neutrosophic hyper BCK-subalgebras and a novel concept of neutro hyper BCK-algebras as a generalization and alternative of hyper BCK-algebras, that have a larger applicable field. In order to realize the article’s goals, we construct single-valued neutrosophic hyper BCK-subalgebras and neutro hyper BCK-algebras on a given nonempty set. The result of the research is the generalization of single-valued neutrosophic BCK-subalgebras and neutro BCK-algebras to single-valued neutrosophic hyper BCK-subalgebras and neutro hyper BCK-algebras, respectively. Also, some results are obtained between extended (extendable) single-valued neutrosophic BCK-subalgebras and single-valued neutrosophic hyper BCK-subalgebras via fundamental relation. The paper includes implications for the development of single-valued neutrosophic BCK-subalgebras and neutro BCK-algebras and for modelling the uncertainty problems by single-valued neutrosophic hyper BCK-subalgebras and neutro hyper BCK-algebras. The new conception of single-valued neutrosophic hyper BCK-subalgebras and neutro hyper BCK-algebras was given for the first time in this paper. We find a method that can apply these concepts in some complex networks.http://dx.doi.org/10.1155/2021/6656739 |
| spellingShingle | M. Hamidi F. Smarandache Single-Valued Neutro Hyper BCK-Subalgebras Journal of Mathematics |
| title | Single-Valued Neutro Hyper BCK-Subalgebras |
| title_full | Single-Valued Neutro Hyper BCK-Subalgebras |
| title_fullStr | Single-Valued Neutro Hyper BCK-Subalgebras |
| title_full_unstemmed | Single-Valued Neutro Hyper BCK-Subalgebras |
| title_short | Single-Valued Neutro Hyper BCK-Subalgebras |
| title_sort | single valued neutro hyper bck subalgebras |
| url | http://dx.doi.org/10.1155/2021/6656739 |
| work_keys_str_mv | AT mhamidi singlevaluedneutrohyperbcksubalgebras AT fsmarandache singlevaluedneutrohyperbcksubalgebras |