Novel Extension of Neutrosophic Sets and Its Application in BCK/BCI-Algebras PDF Download

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Novel Extension of Neutrosophic Sets and Its Application in BCK/BCI-Algebras

Novel Extension of Neutrosophic Sets and Its Application in BCK/BCI-Algebras PDF Author: Seok-Zun Song
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 19

Book Description
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.
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