Length Neutrosophic Subalgebras of BCK=BCI-Algebras

Given i, j, k ∈ {1,2,3,4}, the notion of (i, j, k)-length neutrosophic subalgebras in BCK=BCI-algebras is introduced, and their properties are investigated. Characterizations of length neutrosophic subalgebras are discussed by using level sets of interval neutrosophic sets. Conditions for level sets...

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Main Authors: Young Bae Jun, Madad Khan, Florentin Smarandache, Seok-Zun Song
Format: Article
Language:English
Published: Lodz University Press 2020-12-01
Series:Bulletin of the Section of Logic
Subjects:
Online Access:https://czasopisma.uni.lodz.pl/bulletin/article/view/8257
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spelling doaj-cc9dc892563542d784d363a725cc70d02021-01-26T11:28:48ZengLodz University PressBulletin of the Section of Logic0138-06802449-836X2020-12-0149437740010.18778/0138-0680.2020.218462Length Neutrosophic Subalgebras of BCK=BCI-AlgebrasYoung Bae Jun0Madad Khan1Florentin Smarandache2Seok-Zun Song3Gyeongsang National University Department of Mathematics Education Jinju 52828, KoreaCOMSATS Institute of Information Technology Department of Mathematics Abbottabad, PakistanUniversity of New Mexico Department of Mathematics New Mexico 87301, USAJeju National University Department of Mathematics Jeju 63243, KoreaGiven i, j, k ∈ {1,2,3,4}, the notion of (i, j, k)-length neutrosophic subalgebras in BCK=BCI-algebras is introduced, and their properties are investigated. Characterizations of length neutrosophic subalgebras are discussed by using level sets of interval neutrosophic sets. Conditions for level sets of interval neutrosophic sets to be subalgebras are provided.https://czasopisma.uni.lodz.pl/bulletin/article/view/8257interval neutrosophic setinterval neutrosophic lengthlength neutrosophic subalgebra
collection DOAJ
language English
format Article
sources DOAJ
author Young Bae Jun
Madad Khan
Florentin Smarandache
Seok-Zun Song
spellingShingle Young Bae Jun
Madad Khan
Florentin Smarandache
Seok-Zun Song
Length Neutrosophic Subalgebras of BCK=BCI-Algebras
Bulletin of the Section of Logic
interval neutrosophic set
interval neutrosophic length
length neutrosophic subalgebra
author_facet Young Bae Jun
Madad Khan
Florentin Smarandache
Seok-Zun Song
author_sort Young Bae Jun
title Length Neutrosophic Subalgebras of BCK=BCI-Algebras
title_short Length Neutrosophic Subalgebras of BCK=BCI-Algebras
title_full Length Neutrosophic Subalgebras of BCK=BCI-Algebras
title_fullStr Length Neutrosophic Subalgebras of BCK=BCI-Algebras
title_full_unstemmed Length Neutrosophic Subalgebras of BCK=BCI-Algebras
title_sort length neutrosophic subalgebras of bck=bci-algebras
publisher Lodz University Press
series Bulletin of the Section of Logic
issn 0138-0680
2449-836X
publishDate 2020-12-01
description Given i, j, k ∈ {1,2,3,4}, the notion of (i, j, k)-length neutrosophic subalgebras in BCK=BCI-algebras is introduced, and their properties are investigated. Characterizations of length neutrosophic subalgebras are discussed by using level sets of interval neutrosophic sets. Conditions for level sets of interval neutrosophic sets to be subalgebras are provided.
topic interval neutrosophic set
interval neutrosophic length
length neutrosophic subalgebra
url https://czasopisma.uni.lodz.pl/bulletin/article/view/8257
work_keys_str_mv AT youngbaejun lengthneutrosophicsubalgebrasofbckbcialgebras
AT madadkhan lengthneutrosophicsubalgebrasofbckbcialgebras
AT florentinsmarandache lengthneutrosophicsubalgebrasofbckbcialgebras
AT seokzunsong lengthneutrosophicsubalgebrasofbckbcialgebras
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