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SB-neutrosophic structures in BCK/BCI-algebras | ||
| Journal of Hyperstructures | ||
| دوره 12، شماره 1، شهریور 2023، صفحه 51-77 اصل مقاله (367.23 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2023.2512 | ||
| نویسندگان | ||
| Shake Baji* 1؛ D. Devanandam2 | ||
| 1Department of Mathematics, Sir C. R. Reddy college of Engineering, Eluru-534 007, Andhra Pradesh, India | ||
| 2Government degree college, Chintalpudi-534 460, Eluru, Andhra Pradesh, India | ||
| چکیده | ||
| 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 applied to 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 an SB-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 an SB-NSI to be an SB-NSSA are given. | ||
| کلیدواژه‌ها | ||
| SB-neutrosophic set (SB-NSS)؛ SB-neutrosophic subalgebra (SB-NSSA)؛ SB-neutrosophic ideal (SB-NSI) | ||
| مراجع | ||
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