Abstract
This paper aims to mark out new terms of single-valued neutrosophic notions in a Sostak sense called single-valued neutrosophic semi-closure spaces. To achieve this, notions such as beta -closure pound operators and beta -interior pound operators are first defined. More precisely, these proposed contributions involve different terms of single-valued neutrosophic continuous mappings called single-valued neutrosophic (almost beta pound, faintly beta pound, weakly beta ) pound and beta -continuous pound. Finally, for the purpose of symmetry, we define the single-valued neutrosophic upper, single-valued neutrosophic lower and single-valued neutrosophic boundary sets of a rough single-valued neutrosophic set alpha(n) in a single-valued neutrosophic approximation space ((F) over tilde,delta). Based on alpha(n) and delta, we also introduce the single-valued neutrosophic approximation interior operator int(alpha n)(delta) and the single-valued neutrosophic approximation closure operator Cl-alpha n delta(.)