Commutative Generalized Neutrosophic Ideals in BCK-Algebras
1
Department of Mathematics, Shahid Beheshti University, Tehran 1983963113, Iran
2
Department of Mathematics, Shaanxi University of Science & Technology, Xi’an 710021, China
3
Department of Mathematics, Shanghai Maritime University, Shanghai 201306, China
4
Department of Mathematics, University of New Mexico, Gallup, NM 87301, USA
5
Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea
*
Author to whom correspondence should be addressed.
Symmetry 2018, 10(8), 350; https://doi.org/10.3390/sym10080350
Received: 19 July 2018 / Revised: 9 August 2018 / Accepted: 17 August 2018 / Published: 20 August 2018
(This article belongs to the Special Issue Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets)
The concept of a commutative generalized neutrosophic ideal in a -algebra is proposed, and related properties are proved. Characterizations of a commutative generalized neutrosophic ideal are considered. Also, some equivalence relations on the family of all commutative generalized neutrosophic ideals in -algebras are introduced, and some properties are investigated.
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Keywords:
(commutative) ideal; generalized neutrosophic set; generalized neutrosophic ideal; commutative generalized neutrosophic 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
MDPI and ACS Style
Borzooei, R.A.; Zhang, X.; Smarandache, F.; Jun, Y.B. Commutative Generalized Neutrosophic Ideals in BCK-Algebras. Symmetry 2018, 10, 350. https://doi.org/10.3390/sym10080350
AMA Style
Borzooei RA, Zhang X, Smarandache F, Jun YB. Commutative Generalized Neutrosophic Ideals in BCK-Algebras. Symmetry. 2018; 10(8):350. https://doi.org/10.3390/sym10080350
Chicago/Turabian StyleBorzooei, Rajab A.; Zhang, Xiaohong; Smarandache, Florentin; Jun, Young B. 2018. "Commutative Generalized Neutrosophic Ideals in BCK-Algebras" Symmetry 10, no. 8: 350. https://doi.org/10.3390/sym10080350
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