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Keywords = r-single-valued neutrosophic connected and r-single-valued neutrosophic component

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20 pages, 811 KB  
Article
Connectedness and Stratification of Single-Valued Neutrosophic Topological Spaces
by Yaser Saber, Fahad Alsharari, Florentin Smarandache and Mohammed Abdel-Sattar
Symmetry 2020, 12(9), 1464; https://doi.org/10.3390/sym12091464 - 7 Sep 2020
Cited by 18 | Viewed by 2511
Abstract
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 [...] Read more.
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. Full article
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