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Open AccessArticle

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
The concept of a commutative generalized neutrosophic ideal in a B C K -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 B C K -algebras are introduced, and some properties are investigated. View Full-Text
Keywords: (commutative) ideal; generalized neutrosophic set; generalized neutrosophic ideal; commutative generalized neutrosophic ideal (commutative) ideal; generalized neutrosophic set; generalized neutrosophic ideal; commutative generalized neutrosophic ideal
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 Style

Borzooei, 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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