Near rough cluster points in topologized approximation spaces

Abstract: The classes of near open sets can be considered as rich sources for elementary concepts in information systems. These classes have been used extensively in abstract topological results. The purpose of this paper is to spotlight on using these classes as tools for finding near rough cluster points. Basic notions of near rough cluster points are introduced. The topology induced by binary relations is used to generalize the basic near rough concepts. Moreover, proved results, examples and counter examples are provided. The topological structure which suggested in this paper opens up the way for applying rich amount of topological facts and methods in the process of granular computing.

Keywords: Topological space; Topologized approximation space; Near rough cluster points