I-Rough Topological Spaces

Abstract

R ough set theory is a mathematical tool to deal with incomplete and imprecise data and topology is the study of invariance of a space under topological transformations known as homeomorphisms.  In this paper an attempt is made to develop general topological structure on rough sets. We defined rough topology on a rough set and some basic topological properties of the resultant Rough Topological Spaces (RTS), such as rough open sets, rough closed sets, rough base and rough closure, etc. are studied.