Neutrosophic subalgebras of several types in BCK/BCI-algebras
نویسنده
چکیده
Given Φ,Ψ ∈ {∈, q,∈ ∨ q}, the notion of (Φ, Ψ)neutrosophic subalgebras of a BCK/BCI-algebra are introduced, and related properties are investigated. Characterizations of an (∈,∈)neutrosophic subalgebra and an (∈,∈∨ q)-neutrosophic subalgebra are provided. Given special sets, so called neutrosophic ∈-subsets, neutrosophic q-subsets and neutrosophic ∈∨ q-subsets, conditions for the neutrosophic ∈-subsets, neutrosophic q-subsets and neutrosophic ∈ ∨ q-subsets to be subalgebras are discussed. Conditions for a neutrosophic set to be a (q, ∈∨ q)-neutrosophic subalgebra are considered. 2010 AMS Classification: 06F35, 03B60, 03B52.
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