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| Author | : Rajab Ali Borzooei |
| Publisher | : Infinite Study |
| Total Pages | : 23 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
In the fuzzy set which is introduced by Zadeh, the membership degree is expressed by only one function so called the truth function. As a generalization of fuzzy set, intuitionistic fuzzy set is introduced by Atanassove by using membership function and nonmembership function.
| Author | : Seok-Zun Song |
| Publisher | : Infinite Study |
| Total Pages | : 19 |
| Release | : |
| Genre | : |
| ISBN | : |
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.
| Author | : Seok-Zun Song |
| Publisher | : Infinite Study |
| Total Pages | : 19 |
| Release | : |
| Genre | : |
| ISBN | : |
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.
| Author | : Hashem Bordbar |
| Publisher | : Infinite Study |
| Total Pages | : 17 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
In this paper, we introduce a more general form of neutrosophic ideal, and investigate their properties.
| Author | : Florentin Smarandache |
| Publisher | : Infinite Study |
| Total Pages | : 454 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Some articles in this issue: Parameter Reduction of Neutrosophic Soft Sets and Their Applications, Geometric Programming (NGP) Problems Subject to (⋁,.) Operator; the Minimum Solution, Ngpr Homeomorphism in Neutrosophic Topological Spaces, Generalized Neutrosophic Separation Axioms in Neutrosophic Soft Topological Spaces.
| Author | : Rajab Ali Borzooei |
| Publisher | : Infinite Study |
| Total Pages | : 15 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
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.
| Author | : A. Borumand Saeid |
| Publisher | : Infinite Study |
| Total Pages | : 11 |
| Release | : |
| Genre | : |
| ISBN | : |
The concept of neutrosophic set (NS) developed by Smarandache is a more general platform which extends the concepts of the classic set and fuzzy set , intuitionistic fuzzy set and interval valued intuitionistic fuzzy set.
| Author | : Seon Jeong Kim |
| Publisher | : Infinite Study |
| Total Pages | : 16 |
| Release | : |
| Genre | : |
| ISBN | : |
As a more general platform which extends the notions of the classical set, fuzzy set, interval valued fuzzy set, intuitionistic fuzzy set and interval valued intuitionistic fuzzy set, Smarandache developed the concept of neutrosophic set which consists of three member functions, so called truth membership function, indeterminacy membership function and falsity membership function.
| Author | : G. MUHIUDDIN |
| Publisher | : Infinite Study |
| Total Pages | : 9 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Smarandache introduced the concept of neutrosophic sets which is more general platform to extend the notions of the classical set and (intuitionistic, interval valued) fuzzy set.
| Author | : Florentin Smarandache |
| Publisher | : Infinite Study |
| Total Pages | : 452 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.
