TY  - JOUR
AU  - Borzooei, Rajab Ali
AU  - Kim, Hee Sik
AU  - Jun, Young Bae
AU  - Ahn, Sun Shin
PY  - 2022
TI  - MBJ-neutrosophic subalgebras and filters in    B  E-algebras
JO  - AIMS Mathematics
SP  - 6016
EP  - 6033
VL  - 7
IS  - 4
AB  - The concept of a neutrosophic set, which is a generalization of an intuitionistic fuzzy set and a para consistent set etc., was introduced by F. Smarandache. Since then, it has been studied in various applications. In considering a generalization of the neutrosophic set, Mohseni Takallo et al. used the interval valued fuzzy set as the indeterminate membership function because interval valued fuzzy set is a generalization of a fuzzy set, and introduced the notion of MBJ-neutrosophic sets, and then they applied it to BCK/BCI-algebras. The aim of this paper is to apply the concept of MBJ-neutrosophic sets to a    B  E-algebra, which is a generalization of a BCK-algebra. The notions of MBJ-neutrosophic subalgebras and MBJ-neutrosophic filters of    B  E-algebras are introduced and related properties are investigated. The conditions under which the MBJ-neutrosophic set can be a MBJ-neutrosophic subalgebra/filter are searched. Characterizations of MBJ-neutrosophic subalgebras and MBJ-neutrosophic filters are considered. The relationship between an MBJ-neutrosophic subalgebra and an MBJ-neutrosophic filter is established.
UR  - https://doi.org/10.3934/math.2022335
DO  - 10.3934/math.2022335