MBJ-neutrosophic ideals of BCK/BCI-algebras

The notion of MBJ-neutrosophic ideal is introduced, and its properties are investigated. Conditions for an MBJ-neutrosophic set to be an MBJ-neutrosophic ideal are provided. In a -algebra, a condition for an MBJ-neutrosophic set to be an MBJ-neutrosophic ideal is given. In a -algebra, a condition fo...

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Veröffentlicht in:Open mathematics (Warsaw, Poland) Poland), 2019-11, Vol.17 (1), p.588-601
Hauptverfasser: Jun, Young Bae, Roh, Eun Hwan
Format: Artikel
Sprache:eng
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Zusammenfassung:The notion of MBJ-neutrosophic ideal is introduced, and its properties are investigated. Conditions for an MBJ-neutrosophic set to be an MBJ-neutrosophic ideal are provided. In a -algebra, a condition for an MBJ-neutrosophic set to be an MBJ-neutrosophic ideal is given. In a -algebra, a condition for an MBJ-neutrosophic subalgebra to be an MBJ-neutrosophic ideal is given. In a -algebra, conditions for an MBJ-neutrosophic ideal to be an MBJ-neutrosophic subalgebra are considered. In an ( )- -algebra, we show that every MBJ-neutrosophic ideal is an MBJ-neutrosophic ∘-subalgebra, and a characterization of an MBJ-neutrosophic ideal is established.
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2019-0106