Title of article
SB-neutrosophic structures in BCK/BCI-algebras
Author/Authors
Baji ، Shake Department of Mathematics - Sir C. R. Reddy college of Engineering , Devanandam ، D. Government degree college
From page
51
To page
77
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 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.
Keywords
SB , neutrosophic set (SB , NSS) , SB , neutrosophic subalgebra (SB , NSSA) , SB , neutrosophic ideal (SB , NSI)
Journal title
Journal of Hyperstructures
Journal title
Journal of Hyperstructures
Record number
2774553
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