Length Neutrosophic Subalgebras of BCK=BCI-Algebras

Young Bae Jun; Madad Khan; Florentin Smarandache; Seok-Zun Song

doi:10.18778/0138-0680.2020.21

Authors

Young Bae Jun Gyeongsang National University Department of Mathematics Education Jinju 52828, Korea http://orcid.org/0000-0002-0181-8969
Madad Khan COMSATS Institute of Information Technology Department of Mathematics Abbottabad, Pakistan http://orcid.org/0000-0003-0044-961X
Florentin Smarandache University of New Mexico Department of Mathematics New Mexico 87301, USA http://orcid.org/0000-0002-5560-5926
Seok-Zun Song Jeju National University Department of Mathematics Jeju 63243, Korea http://orcid.org/0000-0002-2383-664X

DOI:

https://doi.org/10.18778/0138-0680.2020.21

Keywords:

interval neutrosophic set, interval neutrosophic length, length neutrosophic subalgebra

Abstract

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.

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