• SOME STUDIES ON I-ROUGH TOPOLOGICAL SPACES

BOBY P. MATHEW*, SUNIL JACOB JOHN

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.


Keywords


Topology, rough universe, I-rough sets, I-rough topology, I-rough topological spaces, I-rough open sets, I-rough closed sets, I-rough base, I-rough sub-base, I-rough subspace, I-rough interior, I-rough closure, I-rough dense subst.

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