MBJ-neutrosophic ideals of BCK/BCI-algebras

Jun Young Bae; Roh Eun Hwan

doi:10.1515/math-2019-0106

Open Mathematics (Nov 2019)

MBJ-neutrosophic ideals of BCK/BCI-algebras

Jun Young Bae,
Roh Eun Hwan

Affiliations

Jun Young Bae: Department of Mathematics Education, Gyeongsang National University, Jinju, 52828, Korea
Roh Eun Hwan: Department of Mathematics Education, Chinju National University of Education, Jinju, 52673, Korea

DOI: https://doi.org/10.1515/math-2019-0106
Journal volume & issue: Vol. 17, no. 1
pp. 588 – 601

Abstract

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The notion of MBJ-neutrosophic ideal is introduced, and its properties are investigated. Conditions for an MBJ-neutrosophic set to be an MBJ-neutrosophic ideal are provided. In a BCK/BCI-algebra, a condition for an MBJ-neutrosophic set to be an MBJ-neutrosophic ideal is given. In a BCK-algebra, a condition for an MBJ-neutrosophic subalgebra to be an MBJ-neutrosophic ideal is given. In a BCI-algebra, conditions for an MBJ-neutrosophic ideal to be an MBJ-neutrosophic subalgebra are considered. In an (S)-BCK-algebra, we show that every MBJ-neutrosophic ideal is an MBJ-neutrosophic ∘-subalgebra, and a characterization of an MBJ-neutrosophic ideal is established.

Published in Open Mathematics

ISSN: 2391-5455 (Online)
Publisher: De Gruyter
Country of publisher: Poland
LCC subjects: Science: Mathematics
Website: https://www.degruyter.com/journal/key/math/html

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