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Neutrosophic Positive Implicative N -Ideals in BCK-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, Jeju National University, Jeju 63243, Korea
4
Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad 45550, Pakistan
*
Author to whom correspondence should be addressed.
Received: 30 October 2017 / Revised: 11 January 2018 / Accepted: 13 January 2018 / Published: 15 January 2018
(This article belongs to the Special Issue Neutrosophic Multi-Criteria Decision Making)
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Abstract

The notion of a neutrosophic positive implicative N -ideal in B C K -algebras is introduced, and several properties are investigated. Relations between a neutrosophic N -ideal and a neutrosophic positive implicative N -ideal are discussed. Characterizations of a neutrosophic positive implicative N -ideal are considered. Conditions for a neutrosophic N -ideal to be a neutrosophic positive implicative N -ideal are provided. An extension property of a neutrosophic positive implicative N -ideal based on the negative indeterminacy membership function is discussed. View Full-Text
Keywords: neutrosophic N-structure; neutrosophic N-ideal; neutrosophic positive implicative N-ideal neutrosophic N-structure; neutrosophic N-ideal; neutrosophic positive implicative 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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Jun, Y.B.; Smarandache, F.; Song, S.-Z.; Khan, M. Neutrosophic Positive Implicative N -Ideals in BCK-Algebras. Axioms 2018, 7, 3.

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