Near rough probability in topologized stochastic approximation spaces

Abstract: Most researches in rough set context are based on Pawlak's model and its generalization. Topology was used as a tool for rough set extension. The purpose of this paper is to generalize approximation spaces using topology and probability theory. Pawlak's approach about rough probability and a generalization of Pawlak's approach are given. In this paper we introduce near rough probability in approximation spaces.

Keywords: Topological space; Topologized stochastic approximation space; Near rough probability