Journal article Open Access

MBJ-neutrosophic structures and its applications in BCK/BCI-algebras

Takallo, M. Mohseni; Borzooei, R.A.; Jun, Young Bae

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.

Files (769.2 kB)
Name Size
MBJNeutrosophicStructures.pdf
md5:7de765fe8b48685be3319d94e1ee6c22
769.2 kB Download
49
20
views
downloads
All versions This version
Views 4951
Downloads 2020
Data volume 15.4 MB15.4 MB
Unique views 4547
Unique downloads 1717

Share

Cite as