Commutative Ideals of BCI-Algebras Using MBJ-Neutrosophic Structures
| Autor: | Young Bae Jun, Seok-Zun Song, Mehmet Ali Öztürk |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Pure mathematics
MBJ-neutrosophic set MBJ-neutrosophic subalgebra MBJ-neutrosophic ideal commutative MBJ-neutrosophic ideal Property (philosophy) Ideal (set theory) Generalization General Mathematics Neutrosophic set Extension (predicate logic) Characterization (mathematics) Set (abstract data type) QA1-939 Computer Science (miscellaneous) Engineering (miscellaneous) Commutative property Mathematics |
| Zdroj: | Mathematics; Volume 9; Issue 17; Pages: 2047 Mathematics, Vol 9, Iss 2047, p 2047 (2021) |
| ISSN: | 2227-7390 |
| DOI: | 10.3390/math9172047 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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