@article{Borzooei2022, 
author = {Rajab Ali Borzooei and Hee Sik Kim and Young Bae Jun and Sun Shin Ahn},
title = {MBJ-neutrosophic subalgebras and filters in    B  E-algebras},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {4},
pages = {6016-6033},
keywords = {MBJ-neutrosophic set, MBJ-neutrosophic subalgebra, MBJ-neutrosophic filter},
url = {https://www.sciopen.com/article/10.3934/math.2022335},
doi = {10.3934/math.2022335},
abstract = {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.}
}