I-Rough Topological Spaces

I-Rough Topological Spaces

Boby P. Mathew (Department of Mathematics, St. Thomas College, Pala, Kerala, India) and Sunil Jacob John (Department of Mathematics, National Institute of Technology Calicut, Kerala, India)
Copyright: © 2016 |Pages: 16
DOI: 10.4018/IJRSDA.2016010106

Abstract

This paper extends the concept of topology on a point set to a topology of an arbitrary rough universe. The concept of I- rough topology on an arbitrary rough universe is introduced and some topological properties of the resultant I-rough topological spaces are studied. Also a comparison study is carried out between topological spaces and I-rough topological spaces.
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Preliminaries

Some of the basic definitions for our further study need to be quoted before introducing the new concepts.

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