• SOME STUDIES ON I-ROUGH TOPOLOGICAL SPACES

Abstract

This paper extends the concepts of interior and closure of a set in the point set topology to the I-rough topological spaces by introducing the concepts of I-rough interior and I-rough closure of an I-rough set. I-rough dense subset and I-rough boundary of an I-rough set are also introduced and their properties are discussed. A necessary and sufficient condition for an I-rough subset is an I-rough dense subset is studied. In order to swot up the new concepts in to the relative I-rough topology this paper also explores some properties of I-rough subspaces. The structure of I-rough open sets and I-rough closed sets in the relative I-rough topology are studied.