In this paper, we investigate a new method of nano topological space stimulated by soft set. The soft set is generated in lower approximation, upper approximation and boundary region, called as ”Nano Soft Topological Space(NSTS)”. We study the properties of soft approximation space (U, FA) in NSTS. Further, we define with an example a new soft matrices induced by binary relation through the NSTS. To study the real life application, we carried out an comparative analysis between nano topological space and NSTS induced by soft matrix.
Keywords and Phrases
Soft lower approximation, Soft upper approximation, Soft boundary region, Soft approximation space, Soft matrix.
A.M.S. subject classiﬁcation
54A05, 54A10, 54B05.