SB-neutrosophic structures in BCK/BCI-algebras
This article presents the novel set termed SB - neutro-sophic set (SB-NSS), which extends the concept of the Neutrosophic set (NSS). We illustrate its fundamental operations with examples.This concept of SB-NSSs is appliedto BCK/BCI-algebras, and we introduce the notion of SB-neutrosophic subalgebra...
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University of Mohaghegh Ardabili
2023-06-01
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| Series: | Journal of Hyperstructures |
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| Online Access: | https://jhs.uma.ac.ir/article_2512_3c706525e496d6950594fea4b492e439.pdf |
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| author | Bavanari Satyanarayana Shake Baji Dola Devanandam |
| author_facet | Bavanari Satyanarayana Shake Baji Dola Devanandam |
| author_sort | Bavanari Satyanarayana |
| collection | DOAJ |
| description | This article presents the novel set termed SB - neutro-sophic set (SB-NSS), which extends the concept of the Neutrosophic set (NSS). We illustrate its fundamental operations with examples.This concept of SB-NSSs is appliedto BCK/BCI-algebras, and we introduce the notion of SB-neutrosophic subalgebra (SB-NSSA), SB-neutrosophic ideal(SB-NSI), and related properties are investi-gated. Furthermore, we provide conditions for an SB-NSS to be anSB-NSSA, for an SB-NSS to be an SB-NSI, and for an SB-NSSA to be an SB-NSI. In a BCI-algebra, conditions for anSB-NSI to be an SB-NSSA are given. |
| format | Article |
| id | doaj-art-e97695c34c9d441594c5ca5403e71d00 |
| institution | DOAJ |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2023-06-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-e97695c34c9d441594c5ca5403e71d002025-08-20T02:40:20ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662023-06-01121517710.22098/jhs.2023.25122512SB-neutrosophic structures in BCK/BCI-algebrasBavanari Satyanarayana0Shake Baji1Dola Devanandam2Department of Mathematics, Acharya Nagarjuna University,{Guntur-522 510, Andhra Pradesh, IndiaDepartment of Mathematics, Sir C. R. Reddy college of Engineering, Eluru-534 007, Andhra Pradesh, IndiaGovernment degree college, Chintalpudi-534 460, Eluru, Andhra Pradesh, IndiaThis article presents the novel set termed SB - neutro-sophic set (SB-NSS), which extends the concept of the Neutrosophic set (NSS). We illustrate its fundamental operations with examples.This concept of SB-NSSs is appliedto BCK/BCI-algebras, and we introduce the notion of SB-neutrosophic subalgebra (SB-NSSA), SB-neutrosophic ideal(SB-NSI), and related properties are investi-gated. Furthermore, we provide conditions for an SB-NSS to be anSB-NSSA, for an SB-NSS to be an SB-NSI, and for an SB-NSSA to be an SB-NSI. In a BCI-algebra, conditions for anSB-NSI to be an SB-NSSA are given.https://jhs.uma.ac.ir/article_2512_3c706525e496d6950594fea4b492e439.pdfsb-neutrosophic set (sb-nss)sb-neutrosophic subalgebra (sb-nssa)sb-neutrosophic ideal (sb-nsi) |
| spellingShingle | Bavanari Satyanarayana Shake Baji Dola Devanandam SB-neutrosophic structures in BCK/BCI-algebras Journal of Hyperstructures sb-neutrosophic set (sb-nss) sb-neutrosophic subalgebra (sb-nssa) sb-neutrosophic ideal (sb-nsi) |
| title | SB-neutrosophic structures in BCK/BCI-algebras |
| title_full | SB-neutrosophic structures in BCK/BCI-algebras |
| title_fullStr | SB-neutrosophic structures in BCK/BCI-algebras |
| title_full_unstemmed | SB-neutrosophic structures in BCK/BCI-algebras |
| title_short | SB-neutrosophic structures in BCK/BCI-algebras |
| title_sort | sb neutrosophic structures in bck bci algebras |
| topic | sb-neutrosophic set (sb-nss) sb-neutrosophic subalgebra (sb-nssa) sb-neutrosophic ideal (sb-nsi) |
| url | https://jhs.uma.ac.ir/article_2512_3c706525e496d6950594fea4b492e439.pdf |
| work_keys_str_mv | AT bavanarisatyanarayana sbneutrosophicstructuresinbckbcialgebras AT shakebaji sbneutrosophicstructuresinbckbcialgebras AT doladevanandam sbneutrosophicstructuresinbckbcialgebras |