Florentin Smarandache

Young Bae Jun

Seok-Zun Song

The notion of a neutrosophic commutative N-ideal in BCK-algebras is introduced, and several properties are investigated. Relations between a neutrosophicN-idealandaneutrosophic commutative N-ideal are discussed. Characterizations of a neutrosophic commutative N-ideal are considered.

Neutrosophic Commutative N-Ideals in BCK-Algebras

Madad Khan

The notion of (i; j; k)-length neutrosophic subalgebras in BCK/BCI-algebras is introduced, and their properties are investigated. Characterizations of length neutrosophic subalgebras are discussed by using level sets of interval neutrosophic sets. Conditions for level sets of interval neutrosophic sets to be subalgebras are provided.

Length Neutrosophic Subalgebras of BCK/BCI-Algebras

Hashem Bordbar

The notion of neutrosophic set theory developed by Smarandache (see[1] and[2]) is a more general platform which extends the concepts of classic and fuzzy set, intuitionistic fuzzy set and interval valued (intuitionistic) fuzzy set, and is applied to various parts.

Neutrosophic permeablevaluesandenergeticsubsetswithapplicationsin BCK/BCI-algebras

Seon Jeong Kim

Saeid and Jun introduced the notion of neutrosophic points, and studied neutrosophic subalgebras of several types in BCK=BCI-algebras by using the notion of neutrosophic points.

Generalizations of Neutrosophic Subalgebras in BCK=BCI-Algebras Based on Neutrosophic Points

The notion of neutrosophic set (NS) theory developed by Smarandache is a more general platform that extends the concepts of classic and fuzzy sets, intuitionistic fuzzy sets, and interval-valued (intuitionistic) fuzzy sets and that is applied to various parts: pattern recognition, medical diagnosis, decision-making problems, and so on

Neutrosophic Permeable Values and Energetic Subsets with Applications in BCK/BCI-Algebras

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.

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

The notion of a neutrosophic quadruple BCK/BCI-number is considered, and a neutrosophic quadruple BCK/BCI-algebra, which consists of neutrosophic quadruple BCK/BCI-numbers, is constructed.

Seok-Zun Song

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