Neutrosophic N-Structures Applied to BCK/BCI-Algebras

Neutrosophic N -structures with applications in B C K / B C I -algebras is discussed. The notions of a neutrosophic N -subalgebra and a (closed) neutrosophic N -ideal in a B C K / B C I -algebra are introduced, and several related properties are investigated. Characteriz...

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Main Authors: Young Bae Jun, Florentin Smarandache, Hashem Bordbar
Format: Article
Language:English
Published: MDPI AG 2017-10-01
Series:Information
Subjects:
Online Access:https://www.mdpi.com/2078-2489/8/4/128
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spelling doaj-2c98991290d54b6981c31ee59b80fb242020-11-24T23:55:27ZengMDPI AGInformation2078-24892017-10-018412810.3390/info8040128info8040128Neutrosophic N-Structures Applied to BCK/BCI-AlgebrasYoung Bae Jun0Florentin Smarandache1Hashem Bordbar2Department of Mathematics Education, Gyeongsang National University, Jinju 52828, KoreaMathematics & Science Department, University of New Mexico, 705 Gurley Ave., Gallup, NM 87301, USADepartment of Mathematics, Shiraz University, Shiraz 7616914111, IranNeutrosophic N -structures with applications in B C K / B C I -algebras is discussed. The notions of a neutrosophic N -subalgebra and a (closed) neutrosophic N -ideal in a B C K / B C I -algebra are introduced, and several related properties are investigated. Characterizations of a neutrosophic N -subalgebra and a neutrosophic N -ideal are considered, and relations between a neutrosophic N -subalgebra and a neutrosophic N -ideal are stated. Conditions for a neutrosophic N -ideal to be a closed neutrosophic N -ideal are provided.https://www.mdpi.com/2078-2489/8/4/128neutrosophic N-structureneutrosophic N-subalgebra(closed) neutrosophic N-ideal
collection DOAJ
language English
format Article
sources DOAJ
author Young Bae Jun
Florentin Smarandache
Hashem Bordbar
spellingShingle Young Bae Jun
Florentin Smarandache
Hashem Bordbar
Neutrosophic N-Structures Applied to BCK/BCI-Algebras
Information
neutrosophic N-structure
neutrosophic N-subalgebra
(closed) neutrosophic N-ideal
author_facet Young Bae Jun
Florentin Smarandache
Hashem Bordbar
author_sort Young Bae Jun
title Neutrosophic N-Structures Applied to BCK/BCI-Algebras
title_short Neutrosophic N-Structures Applied to BCK/BCI-Algebras
title_full Neutrosophic N-Structures Applied to BCK/BCI-Algebras
title_fullStr Neutrosophic N-Structures Applied to BCK/BCI-Algebras
title_full_unstemmed Neutrosophic N-Structures Applied to BCK/BCI-Algebras
title_sort neutrosophic n-structures applied to bck/bci-algebras
publisher MDPI AG
series Information
issn 2078-2489
publishDate 2017-10-01
description Neutrosophic N -structures with applications in B C K / B C I -algebras is discussed. The notions of a neutrosophic N -subalgebra and a (closed) neutrosophic N -ideal in a B C K / B C I -algebra are introduced, and several related properties are investigated. Characterizations of a neutrosophic N -subalgebra and a neutrosophic N -ideal are considered, and relations between a neutrosophic N -subalgebra and a neutrosophic N -ideal are stated. Conditions for a neutrosophic N -ideal to be a closed neutrosophic N -ideal are provided.
topic neutrosophic N-structure
neutrosophic N-subalgebra
(closed) neutrosophic N-ideal
url https://www.mdpi.com/2078-2489/8/4/128
work_keys_str_mv AT youngbaejun neutrosophicnstructuresappliedtobckbcialgebras
AT florentinsmarandache neutrosophicnstructuresappliedtobckbcialgebras
AT hashembordbar neutrosophicnstructuresappliedtobckbcialgebras
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