Abstract
This article aims to present new terms of single-valued neutrosophic notions in the Sostak sense, known as single-valued neutrosophic regularity spaces. Concepts such as r-single-valued neutrosophic semi -open pound, r-single-valued neutrosophic pre-(sic)-open, r-single valued neutrosophic regular--open pound and r-single valued neutrosophic alpha(sic)-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 theta -cluster pound point and r-single-valued neutrosophic gamma -cluster pound point, r-theta -closed pound, and theta -closure pound operators and study some of their properties. Also, we present and investigate the notions of r-single-valued neutrosophic theta -connectedness pound and r-single valued neutrosophic theta -connectedness pound and investigate relationship with single-valued neutrosophic almost -regular pound. 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 Sostak sense. The usefulness of these concepts are incorporated to multiple attribute groups of comparison within the connectedness and separateness of theta pound and delta pound.