SB-neutrosophic structures in BCK/BCI-algebras

Bavanari Satyanarayana; Shake Baji; Dola Devanandam

doi:10.22098/jhs.2023.2512

Journal of Hyperstructures (Jun 2023)

SB-neutrosophic structures in BCK/BCI-algebras

Bavanari Satyanarayana,
Shake Baji,
Dola Devanandam

Affiliations

Bavanari Satyanarayana: Department of Mathematics, Acharya Nagarjuna University,{Guntur-522 510, Andhra Pradesh, India
Shake Baji: Department of Mathematics, Sir C. R. Reddy college of Engineering, Eluru-534 007, Andhra Pradesh, India
Dola Devanandam: Government degree college, Chintalpudi-534 460, Eluru, Andhra Pradesh, India

DOI: https://doi.org/10.22098/jhs.2023.2512
Journal volume & issue: Vol. 12, no. 1
pp. 51 – 77

Abstract

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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.

Published in Journal of Hyperstructures

ISSN: 2251-8436 (Print); 2322-1666 (Online)
Publisher: University of Mohaghegh Ardabili
Country of publisher: Iran, Islamic Republic of
LCC subjects: Science: Mathematics
Website: https://jhs.uma.ac.ir/

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