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Commutative falling neutrosophic ideals in BCK-algebras
The notions of a commutative (Ɛ, Ɛ)-neutrosophic ideal and a commutative falling neutrosophic ideal are introduced, and several properties are investigated. Characterizations of a commutative (Ɛ, Ɛ)-neutrosophic ideal are obtained. Relations between commutative (Ɛ, Ɛ)-neutrosophic ideal and (Ɛ, Ɛ)-neutrosophic ideal are discussed.
Implicative Neutrosophic Quadruple BCK-Algebras and Ideals
A neutrosophic set is initiated by Smarandache, and it is a novel tool to deal with vagueness considering the truth, indeterminacy and falsity memberships satisfying the condition that their sum is less than 3. The concept of neutrosophic quadruple numbers was introduced by Florentin Smarandache. Using this idea, Jun et al. introduced the notion of neutrosophic quadruple BCK/BCI-numbers, and studied neutrosophic quadruple BCK/BCI-algebras.
Generalizations of Neutrosophic Subalgebras in BCK=BCI-Algebras Based on Neutrosophic Points
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.
Commutative Generalized Neutrosophic Ideals in BCK-Algebras
The concept of a commutative generalized neutrosophic ideal in a BCK-algebra is proposed, and related properties are proved. Characterizations of a commutative generalized neutrosophic ideal are considered. Also, some equivalence relations on the family of all commutative generalized neutrosophic ideals in BCK-algebras are introduced, and some properties are investigated.
A General Model of Neutrosophic Ideals in Bck/Bci-Algebras Based on Neutrosophic Points
In this paper, we introduce a more general form of neutrosophic ideal, and investigate their properties.
Positive implicative BMBJ-neutrosophic ideals in BCK-algebras
The concepts of a positive implicative BMBJ-neutrosophic ideal is introduced, and several properties are investigated. Conditions for an MBJ-neutrosophic set to be a (positive implicative) BMBJ-neutrosophic ideal are provided. Relations between BMBJ-neutrosophic ideal and positive implicative BMBJ-neutrosophic ideal are discussed. Characterizations of positive implicative BMBJ-neutrosophic ideal are displayed.
Neutrosophic Quadruple 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. Several properties are investigated, and a (positive implicative) ideal in a neutrosophic quadruple BCK-algebra and a closed ideal in a neutrosophic quadruple BCI-algebra are studied.
MBJ-neutrosophic structures and its applications in BCK=BCI-algebras
Smarandache (F. Smarandache. Neutrosophy, neutrosophic probability, set, and logic, ProQuest Information & Learning, Ann Arbor,Michigan, USA, 105 p., 1998) initiated neutrosophic sets which can be used as a mathematical tool for dealing with indeterminates and inconsistent information.
Positive implicative MBJ-neutrosophic ideals of BCK/BCI-algebras
The notion of positive implicative MBJ-neutrosophic ideal is introduced, and several properties are investigated. Relations between MBJ-neutrosophic ideal and positive implicative MBJ-neutrosophic ideal are discussed. Characterizations of positive implicative MBJ-neutrosophic ideal are displayed.
A Novel Extension of Neutrosophic Sets and Its Application 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.
