On Single-Valued Neutrosophic Closure Spaces.

This paper aims to mark out new terms of single-valued neutrosophic notions in a Šostak sense called single-valued neutrosophic semi-closure spaces. To achieve this, notions such as β £ -closure operators and β £ -interior operators are first defined. More precisely, these proposed contributions involve different terms of single-valued neutrosophic continuous mappings called single-valued neutrosophic (almost β £ , faintly β £ , weakly β £ ) and β £ -continuous. 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 α n in a single-valued neutrosophic approximation space (F ˜ , δ) . Based on α n and δ , we also introduce the single-valued neutrosophic approximation interior operator int α n δ and the single-valued neutrosophic approximation closure operator Cl α n δ . [ABSTRACT FROM AUTHOR]