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Keywords = MBJ-neutrosophic ideal

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13 pages, 287 KiB  
Article
Commutative Ideals of BCI-Algebras Using MBJ-Neutrosophic Structures
by Seok-Zun Song, Mehmet Ali Öztürk and Young-Bae Jun
Mathematics 2021, 9(17), 2047; https://doi.org/10.3390/math9172047 - 25 Aug 2021
Cited by 6 | Viewed by 1866
Abstract
As a generalization of a neutrosophic set, the notion of MBJ-neutrosophic sets is introduced by Mohseni Takallo, Borzooei and Jun, and it is applied to BCK/BCI-algebras. In this article, MBJ-neutrosophic set is used to study commutative ideal in BCI-algebras. The concept of closed [...] Read more.
As a generalization of a neutrosophic set, the notion of MBJ-neutrosophic sets is introduced by Mohseni Takallo, Borzooei and Jun, and it is applied to BCK/BCI-algebras. In this article, MBJ-neutrosophic set is used to study commutative ideal in BCI-algebras. The concept of closed MBJ-neutrosophic ideal and commutative MBJ-neutrosophic ideal is introduced and their properties and relationships are studied. The conditions for an MBJ-neutrosophic ideal to be a commutative MBJ-neutrosophic ideal are given. The conditions for an MBJ-neutrosophic ideal to be a closed MBJ-neutrosophic ideal are provided. Characterization of a commutative MBJ-neutrosophic ideal is established. Finally, the extension property for a commutative MBJ-neutrosophic ideal is founded. Full article
(This article belongs to the Special Issue Algebra and Discrete Mathematics 2021)
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