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

M. Mohseni Takallo; Rajab Ali Borzooei; Seok-Zun Song; Young Bae Jun

doi:10.3934/math.2021640

AIMS Mathematics (Jul 2021)

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

M. Mohseni Takallo,
Rajab Ali Borzooei ,
Seok-Zun Song,
Young Bae Jun

Affiliations

M. Mohseni Takallo: 1. Department of Mathematics, Shahid Beheshti University, Tehran, Iran
Rajab Ali Borzooei: 1. Department of Mathematics, Shahid Beheshti University, Tehran, Iran
Seok-Zun Song: 2. Department of Mathematics, Jeju National University, Jeju 63243, Korea
Young Bae Jun: 3. Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea

DOI: https://doi.org/10.3934/math.2021640
Journal volume & issue: Vol. 6, no. 10
pp. 11029 – 11045

Abstract

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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.

Published in AIMS Mathematics

ISSN: 2473-6988 (Online)
Publisher: AIMS Press
Country of publisher: United States
LCC subjects: Science: Mathematics
Website: http://www.aimspress.com/journal/Math

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