BMBJ-neutrosophic subalgebra in BCI/BCK-algebras

Autor: H. Bordbar, M. Mohseni Takallo, R.A. Borzooei, Young Bae Jun
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Neutrosophic Sets and Systems, Vol 31, Pp 31-43 (2019)
Druh dokumentu: article
ISSN: 2331-6055
2331-608X
DOI: 10.5281/zenodo.3638246
Popis: 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 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 an BMBJ-neutrosophic subalgebra of a BCI/BCK-algebra. Alos, homomorphic (inverse) image of BMBJ-neutrosophic subalgebra and translation of BMBJ-neutrosophic subalgebra is investigated. At the end, we provided conditions for an BMBJ-neutrosophic set to be an BMBJ-neutrosophic subalgebra.
Databáze: Directory of Open Access Journals