BMBJ-neutrosophic subalgebra in BCI/BCK-algebras

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

Povzetek

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.

Ključne besede

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

Podatki

Jezik:	Angleški jezik
Leto izida:	2020
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UNG - Univerza v Novi Gorici
UDK:	512
COBISS:	5574651
ISSN:	2331-6055
Matična publikacija:	Neutrosophic sets and systems
Št. ogledov:	2011
Št. prenosov:	0
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Sekundarni jezik:	Angleški jezik
Sekundarni naslov:	BMBJ-neutrosophic subalgebra in BCI/BCK-algebras
URN:	URN:SI:UNG
Vrsta dela (COBISS):	Delo ni kategorizirano
Strani:	str. 31-43
Zvezek:	ǂVol. ǂ31
Čas izdaje:	2020
DOI:	10.5281/zenodo.3638246
ID:	11416038