
Abstract 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 BCK/BCI-algebra, a condition for an MBJ-neutrosophic set to be an MBJ-neutrosophic ideal is given. In a BCK-algebra, a condition for an MBJ-neutrosophic subalgebra to be an MBJ-neutrosophic ideal is given. In a BCI-algebra, conditions for an MBJ-neutrosophic ideal to be an MBJ-neutrosophic subalgebra are considered. In an (S)-BCK-algebra, we show that every MBJ-neutrosophic ideal is an MBJ-neutrosophic ∘-subalgebra, and a characterization of an MBJ-neutrosophic ideal is established.
mbj-neutrosophic set, mbj-neutrosophic subalgebra, mbj-neutrosophic ideal, 06f35, 03g25, QA1-939, mbj-neutro-sophic ∘-subalgebra, Mathematics, 03e72
mbj-neutrosophic set, mbj-neutrosophic subalgebra, mbj-neutrosophic ideal, 06f35, 03g25, QA1-939, mbj-neutro-sophic ∘-subalgebra, Mathematics, 03e72
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