Neutrosophic Sets Applied To Mightylters In Be Algebras
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| Author | : Jung Mi Ko |
| Publisher | : Infinite Study |
| Total Pages | : 10 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
The notion of a neutrosophic subalgebra of a BE-algebra is introduced and consider characterizations of a neutrosophic subalgebra and a neutrosophic lter. We de ned the notion of a neutrosophic mighty lter of a BE-algebra, and investigated some properties of it. We provide conditions for a neutrosophic lter to be a neutrosophic mighty lter.
| Author | : Metawee Songsaeng |
| Publisher | : Infinite Study |
| Total Pages | : 28 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
The notions of neutrosophic UP-subalgebras, neutrosophic near UP- lters, neutrosophic UP- lters, neutrosophic UP-ideals, and neutrosophic strongly UP-ideals of UP-algebras are introduced, and several properties are investigated. Conditions for neutrosophic sets to be neutrosophic UP-subalgebras, neutrosophic near UP- lters, neutrosophic UP- lters, neutrosophic UP-ideals, and neutrosophic strongly UP-ideals of UP-algebras are provided. Relations between neutrosophic UP-subalgebras (resp., neutrosophic near UP- lters, neutrosophic UP- lters, neutrosophic UP-ideals, neutrosophic strongly UP-ideals) and their level subsets are considered.
| Author | : Muhammad Akram |
| Publisher | : Infinite Study |
| Total Pages | : 15 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
The concept of neutrosophic set from philosophical point of view was first considered bySm arandache. A single-valued neutrosophic set is a subclass of the neutrosophic set from a scientific and engineering point of view and an extension of intuitionistic fuzzy sets. In this research article, we apply the notion of single-valued neutrosophic sets to K-algebras. We introduce the notion of single-valued neutrosophic topological K-algebras and investigate some of their properties. Further, we study certain properties, including C5-connected, super connected, compact and Hausdorff, of single-valued neutrosophic topological K-algebras. We also investigate the image and pre-image of single-valued neutrosophic topological K-algebras under homomorphism.
| 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 | : 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 | : G. Muhiuddin |
| Publisher | : Infinite Study |
| Total Pages | : 10 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
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.
| Author | : Florentin Smarandache |
| Publisher | : Infinite Study |
| Total Pages | : 318 |
| 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.
