Open AccessImplicative ideals of BCK-algebras based on MBJ-neutrosophic sets
Author(s) -
M. Mohseni Takallo,
Rajab Ali Borzooei,
Song Shi,
Young Bae Jun
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
ISSN - 2473-6988
DOI - 10.3934/math.2021640
Subject(s) - ideal (ethics) , mathematics , commutative property , pure mathematics , subalgebra , algebra over a field , epistemology , philosophy
The MBJ-neutrosophic set is applied to the implicative ideal of BCK-algebra to introduce the concept of implicative MBJ-neutrosophic ideal. Several properties are investigated. The relationship between implicative MBJ-neutrosophic ideal and each MBJ-neutrosophic subalgebra, (positive implicative, commutative) MBJ-neutrosophic ideal is established. Conditions for MBJ-neutrosophic subalgebra (resp., MBJ-neutrosophic ideal, positive implicative MBJ-neutrosophic ideal and commutative MBJ-neutrosophic ideal) to be implicative MBJ-neutrosophic ideal are provided. Characterizations of implicative MBJ-neutrosophic ideal are discussed.