Implicative ideals of BCK-algebras based on MBJ-neutrosophic sets | Zendy

M. Mohseni Takallo | Zendy; R. A. Borzooei | Zendy; Seok-Zun Song | Zendy; Young Bae Jun | Zendy

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Implicative ideals of BCK-algebras based on MBJ-neutrosophic sets

Author(s) -

M. Mohseni Takallo,

R. A. Borzooei,

Seok-Zun Song,

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.

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