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Certain Notions of Neutrosophic Topological K-Algebras.
- Source :
-
Mathematics (2227-7390) . Nov2018, Vol. 6 Issue 11, p234. 1p. - Publication Year :
- 2018
-
Abstract
- The concept of neutrosophic set from philosophical point of view was first considered by Smarandache. 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 C 5 -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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NEUTROSOPHIC logic
*TOPOLOGICAL algebras
*SET theory
*FUZZY sets
*HOMOMORPHISMS
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 6
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 133220788
- Full Text :
- https://doi.org/10.3390/math6110234