10.5281/zenodo.2155212
https://zenodo.org/records/2155212
oai:zenodo.org:2155212
Takallo, M. Mohseni
M. Mohseni
Takallo
Borzooei, R.A.
R.A.
Borzooei
Jun, Young Bae
Young Bae
Jun
MBJ-neutrosophic structures and its applications in BCK/BCI-algebras
Zenodo
2018
2018-12-10
10.5281/zenodo.2155211
Creative Commons Attribution 4.0 International
Smarandache (F. Smarandache. Neutrosophy, neutrosophic probability, set, and logic, ProQuest Information & Learning, Ann Arbor, Michigan, USA, 105 p., 1998) initiated neutrosophic sets which can be used as a mathematical tool for dealing with indeterminates and inconsistent information. As a generalization of a neutrosophic set, the notion of MBJ-neutrosophic sets is introduced, and it is applied to BCK=BCI-algebras. The concept of MBJ-neutrosophic subalgebras in BCK=BCI-algebras is introduced, and related properties are investigated. A characterization of MBJ-neutrosophic subalgebra is provided. Using an MBJ-neutrosophic subalgebra of a BCI-algebra, a new MBJ-neutrosophic subalgebra is established. Homomorphic inverse image of MBJ-neutrosophic subalgebra is considered. Translation of MBJ-neutrosophic subalgebra is discussed. Conditions for an MBJ-neutrosophic set to be an MBJ-neutrosophic subalgebra are provided.