Neutrosophic N-structures applied to BCK/BCI-algebras

被引：35

作者：

Jun Y.B. ^{[1
]}

Smarandache F. ^{[2
]}

Bordbar H. ^{[3
]}

机构：

[1] Department of Mathematics Education, Gyeongsang National University, Jinju

[2] Mathematics and Science Department, University of New Mexico, 705 Gurley Ave., Gallup, 87301, NM

[3] Department of Mathematics, Shiraz University, Shiraz

来源：

Bordbar, Hashem (bordbar.amirh@gmail.com) | 1600年 / MDPI AG卷 / 08期

关键词：

(closed) neutrosophic N-ideal; Neutrosophic N-structure; Neutrosophic N-subalgebra;

D O I：

10.3390/info8040128

中图分类号：

学科分类号：

摘要：

Neutrosophic N-structures with applications in BCK/BCI-algebras is discussed. The notions of a neutrosophic N-subalgebra and a (closed) neutrosophic N-ideal in a BCK/BCI-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. © 2017 by the authors.

引用

共 8 条

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[3]

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[4]

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[8]

Khan M., Amis S., Smarandache F., Jun Y.B., Neutrosophic N-structures and their applications in semigroups, Ann. Fuzzy Math. Inform. submitted, (2017)

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