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Information 2017, 8(4), 128; doi:10.3390/info8040128

Neutrosophic N-Structures Applied to BCK/BCI-Algebras

1
Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea
2
Mathematics & Science Department, University of New Mexico, 705 Gurley Ave., Gallup, NM 87301, USA
3
Department of Mathematics, Shiraz University, Shiraz 7616914111, Iran
*
Author to whom correspondence should be addressed.
Received: 12 September 2017 / Accepted: 6 October 2017 / Published: 16 October 2017
(This article belongs to the Special Issue Neutrosophic Information Theory and Applications)
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Abstract

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. View Full-Text
Keywords: neutrosophic N-structure; neutrosophic N-subalgebra; (closed) neutrosophic N-ideal neutrosophic N-structure; neutrosophic N-subalgebra; (closed) neutrosophic N-ideal
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Jun, Y.B.; Smarandache, F.; Bordbar, H. Neutrosophic N-Structures Applied to BCK/BCI-Algebras. Information 2017, 8, 128.

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