Further results on (∈, ∈)-neutrosophic subalgebras and ideals in BCK/BCI-algebras
G. Muhiuddin, Hashem Bordbar, Florentin Smarandache and 1 more
Neutrosophic Sets and Systems · 2018
doi:10.5281/zenodo.1235357 (opens in a new tab)
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Abstract
Characterizations of an (∈, ∈)-neutrosophic ideal are considered. Any ideal in a BCK/BCI-algebra will be realized as level neutrosophic ideals of some (∈, ∈)-neutrosophic ideal. The relation between (∈, ∈)-neutrosophic ideal and (∈, ∈)-neutrosophic subalgebra in a BCK-algebra is discussed. Conditions for an (∈,∈)-neutrosophic subalgebra to be a (∈, ∈)-neutrosophic ideal are provided. Using a collection of ideals in a BCK/BCI-algebra, an (∈, ∈)-neutrosophic ideal is established. Equivalence relations on the family of all (∈, ∈)-neutrosophic ideals are introduced, and related properties are investigated.
Abstract licence: CC BY-NC
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