Neutrosophic subalgebras of $BCK/BCI$-algebras based on neutrosophic points
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Properties on neutrosophic $\in\! \vee \, {q}$-subsets and neutrosophic $q$-subsets are investigated. Relations between an $(\in,$ $\in\! \vee \, {q})$-neutrosophic subalgebra and a $(q,$ $\in\! \vee \, {q})$-neutrosophic subalgebra are considered. Characterization of an $(\in,$ $\in\! \vee \, {q})$-neutrosophic subalgebra by using neutrosophic $\in$-subsets are discussed. Conditions for an $(\in,$ $\in\! \vee \, {q})$-neutrosophic subalgebra to be a $(q,$ $\in\! \vee \, {q})$-neutrosophic subalgebra are provided.
Abstract
Properties on neutrosophic $\in\! \vee \, {q}$-subsets and neutrosophic $q$-subsets are investigated. Relations between an $(\in,$ $\in\! \vee \, {q})$-neutrosophic subalgebra and a $(q,$ $\in\! \vee \, {q})$-neutrosophic subalgebra are considered. Characterization of an $(\in,$ $\in\! \vee \, {q})$-neutrosophic subalgebra by using neutrosophic $\in$-subsets are discussed. Conditions for an $(\in,$ $\in\! \vee \, {q})$-neutrosophic subalgebra to be a $(q,$ $\in\! \vee \, {q})$-neutrosophic subalgebra are provided.
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