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Open AccessArticle

Connectedness and Stratification of Single-Valued Neutrosophic Topological Spaces

1
Department of Mathematics, College of Science and Human Studies, Hotat Sudair, Majmaah University, Majmaah 11952, Saudi Arabia
2
Department of Mathematics, Faculty of Science Al-Azhar University, Assiut 71524, Egypt
3
Department of Mathematics, University of New Mexico, Gallup, NM 87301, USA
4
Department of Mathematics, College of Science and Arts King Khaled University, Mhayal Asier 61913, Saudi Arabia
5
Department of Mathematics and Computer Science, Faculty of Science, Beni-Suef University, Beni-Suef 62511, Egypt
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(9), 1464; https://doi.org/10.3390/sym12091464
Received: 26 August 2020 / Revised: 1 September 2020 / Accepted: 4 September 2020 / Published: 7 September 2020
This paper aims to introduce the notion of r-single-valued neutrosophic connected sets in single-valued neutrosophic topological spaces, which is considered as a generalization of r-connected sets in Šostak’s sense and r-connected sets in intuitionistic fuzzy topological spaces. In addition, it introduces the concept of r-single-valued neutrosophic separated and obtains some of its basic properties. It also tries to show that every r-single-valued neutrosophic component in single-valued neutrosophic topological spaces is an r-single-valued neutrosophic component in the stratification of it. Finally, for the purpose of symmetry, it defines the so-called single-valued neutrosophic relations. View Full-Text
Keywords: stratification of single-valued neutrosophic topological spaces; r-single-valued neutrosophic separated; r-single-valued neutrosophic connected and r-single-valued neutrosophic component stratification of single-valued neutrosophic topological spaces; r-single-valued neutrosophic separated; r-single-valued neutrosophic connected and r-single-valued neutrosophic component
MDPI and ACS Style

Saber, Y.; Alsharari, F.; Smarandache, F.; Abdel-Sattar, M. Connectedness and Stratification of Single-Valued Neutrosophic Topological Spaces. Symmetry 2020, 12, 1464.

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