A generalization of rough sets in topological ordered spaces

Abstract

This paper concerns with construct a new rough set structure for an ideal ordered topological spaces. Properties of lower and upper approximation are extended to an ideal order topological approximation spaces. The main aim of the rough set is reducing the boundary region by increasing the lower approximation and decreasing the upper approximation. So, in this paper different new methods are proposed to reduce the boundary region. The properties of these methods are obtained. Comparisons between the current approximations and the previous approximations are introduced.