Abstract
This paper aims to mark out new concepts of r-single valued neutrosophic sets, called r-single valued neutrosophic -closed pound and -open pound sets. The definition of -single pound valued neutrosophic irresolute mapping is provided and its characteristic properties are discussed. Moreover, the concepts of -single pound valued neutrosophic extremally disconnected and -single pound valued neutrosophic normal spaces are established. As a result, a useful implication diagram between the r-single valued neutrosophic ideal open sets is obtained. Finally, some kinds of separation axioms, namely r-single valued neutrosophic ideal-Ri (r-SVNIRi, for short), where i={0,1,2,3}, and r-single valued neutrosophic ideal-Tj (r-SVNITj, for short), where j={1,2,212,3,4}, are introduced. Some of their characterizations, fundamental properties, and the relations between these notions have been studied.