BMBJ-neutrosophic subalgebra in BCI/BCK-algebras

Hashem Bordbar (Author), M. Mohseni Takallo (Author), Rajab Ali Borzooei (Author), Young Bae Jun (Author)

Abstract

For the first time, Smarandache introduced neutrosophic sets which can be used as a mathematical tool for dealing with indeterminate and inconsistent information. the notion of BMBJ-neutrosophic set and subalgebra, as a generalization of a neutrosophic set, is introduced, and it’s an application to BCI/BCK-algebras is investigated. The concept of BMBJ-neutrosophic subalgebras in BCI/BCK-algebras is introduced, and related properties are investigated. New BMBJ-neutrosophic subalgebra is established by using a BMBJ-neutrosophic subalgebra of a BCI/BCK-algebra. Also, a homomorphic (inverse) image of BMBJ-neutrosophic subalgebra and translation of BMBJ-neutrosophic subalgebra is investigated. In the end, we provided conditions for a BMBJ-neutrosophic set to be a BMBJ-neutrosophic subalgebra.

Keywords

BMBJ-neutrosophic set;BMBJ-neutrosophic subalgebra;BMBJ-neutrosophic S-extension;

Data

Language:	English
Year of publishing:	2020
Typology:	1.01 - Original Scientific Article
Organization:	UNG - University of Nova Gorica
UDC:	512
COBISS:	5574651
ISSN:	2331-6055
Parent publication:	Neutrosophic sets and systems
Views:	2011
Downloads:	0
Average score:	0 (0 votes)
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Other data

Secondary language:	English
Secondary title:	BMBJ-neutrosophic subalgebra in BCI/BCK-algebras
URN:	URN:SI:UNG
Type (COBISS):	Not categorized
Pages:	str. 31-43
Issue:	ǂVol. ǂ31
Chronology:	2020
DOI:	10.5281/zenodo.3638246
ID:	11416038