• GENERALIZED NEAR APPROXIMATIONS IN TOPOLOGICAL SPACES

Abstract

ABSTRACT
In this paper, we apply topological concepts to introduce definitions for generalized near approximations, generalized near boundary regions and generalized near accuracy. Moreover, proved results and implications are provided. Generalized near approximations are mathematical tools to modify the generalized approximations. Since the area of uncertainty is the boundary region, we introduced the generalized near boundary regions as different areas of uncertainty. The suggested methods of generalized near approximations open way for constructing new types of lower and upper approximations.

Keywords: Topological space; Generalized near approximations.