• NEW TOPOLOGICAL STRUCTURE OF NANO TOPOLOGY VIA VAGUE TOPOLOGY

Abstract

The aim of this paper is to introduce a new hybrid structure namely, Nano Vague Topological Spaces, with a Universe and an equivalence relation R called Indiscernibility relation.  The notions of Nano Vague open sets, Nano Vague closed sets; Nano Vague interior and Nano Vague closure are introduced. In section three, the new concepts of Nano vague topology are discussed and in section four, Nano vague Interior and Nano Vague Closure and its properties are discussed.