Novel Extension of Neutrosophic Sets and Its Application in BCK/BCI-Algebras
Seok-Zun Song · Madad Khan · Florentin Smarandache · Young Bae Jun
Infinite Study
Ebook
19
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About this ebook
Generalized neutrosophic set is introduced, and applied it to BCK/BCI-algebras. The notions of
generalized neutrosophic subalgebras and generalized neutrosophic ideals in BCK/BCI-algebras
are introduced, and related properties are investigated. Characterizations of generalized neu-
trosophic subalgebra/ideal are considered. Relation between generalized neutrosophic subalgebra
and generalized neutrosophic ideal is discussed. In a BCK-algebra, conditions for a generalized
neutrosophic subalgebra to be a generalized neutrosophic ideal are provided. Conditions for a gen-
eralized neutrosophic set to be a generalized neutrosophic ideal are also provided. Homomorphic
image and preimage of generalized neutrosophic ideal are considered.
generalized neutrosophic subalgebras and generalized neutrosophic ideals in BCK/BCI-algebras
are introduced, and related properties are investigated. Characterizations of generalized neu-
trosophic subalgebra/ideal are considered. Relation between generalized neutrosophic subalgebra
and generalized neutrosophic ideal is discussed. In a BCK-algebra, conditions for a generalized
neutrosophic subalgebra to be a generalized neutrosophic ideal are provided. Conditions for a gen-
eralized neutrosophic set to be a generalized neutrosophic ideal are also provided. Homomorphic
image and preimage of generalized neutrosophic ideal are considered.
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