SB-neutrosophic structures in BCK/BCI-algebras

Document Type : Research Paper

Authors

1 Department of Mathematics, Acharya Nagarjuna University,{Guntur-522 510, Andhra Pradesh, India

2 Department of Mathematics, Sir C. R. Reddy college of Engineering, Eluru-534 007, Andhra Pradesh, India

3 Government degree college, Chintalpudi-534 460, Eluru, Andhra Pradesh, India

Abstract

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.

Keywords

References

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Journal of Hyperstructures
Volume 12, Issue 1
2023
Pages 51-77

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