On Single Valued Neutrosophic Regularity Spaces

• Published in: Computer modeling in engineering & sciences 2022, Vol.130 (3), p.1625-1648
• Main Authors: Saber, Yaser, Alsharari, Fahad, Smarandache, Florentin, Abdel-Sattar, Mohammed
• Format: Article
• Language: English
• Subjects: Clusters; Mathematics; Regularity; Science; Set theory
• ISSN: 1526-1506; 1526-1492; 1526-1506
• DOI: 10.32604/cmes.2022.017782

This article aims to present new terms of single-valued neutrosophic notions in the Šostak sense, known as single-valued neutrosophic regularity spaces. Concepts such as r-single-valued neutrosophic semi -open, r-single-valued neutrosophic pre--open, r-single valued neutrosophic regular--open and r-single valued neutrosophic -open are defined and their properties are studied as well as the relationship between them. Moreover, we introduce the concept of r-single valued neutrosophic -cluster point and r-single-valued neutrosophic -cluster point, r--closed, and -closure operators and study some of their properties. Also, we present and investigate the notions of r-single-valued neutrosophic -connectedness and r-single valued neutrosophic -connectedness and investigate relationship with single-valued neutrosophic almost -regular. We compare all these forms of connectedness and investigate their properties in single-valued neutrosophic semiregular and single-valued neutrosophic almost regular in neutrosophic ideal topological spaces in Šostak sense. The usefulness of these concepts are incorporated to multiple attribute groups of comparison within the connectedness and separateness of and .