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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Mohaghegh Ardabili
2023-06-01
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| Series: | Journal of Hyperstructures |
| Subjects: | |
| Online Access: | https://jhs.uma.ac.ir/article_2512_3c706525e496d6950594fea4b492e439.pdf |
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| Summary: | 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. |
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| ISSN: | 2251-8436 2322-1666 |