I-Rough Continuous Functions

B. P. Mathew¹ , S. J. John²

Section:Research Paper, Product Type: Journal-Paper
Vol.7 , Issue.1 , pp.111-120, Feb-2020

Online published on Feb 28, 2020

Copyright © B. P. Mathew, S. J. John . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
This paper is an attempt to introduce the concept of functions in rough universe and to investigate its properties. I-rough functions between two arbitrary rough universes are introduced and the conditions for an I-rough function to be an I-rough continuous function with respect to I-rough topological spaces are studied. I rough functions in a rough universe are the generalization of functions in set theory. In addition the paper also introduce I-rough open mapping and I-rough closed mapping between two I-rough topological spaces and its properties are studied.

Key-Words / Index Term :
Rough universe, I-rough sets, I-rough topological spaces, I-rough continuous function, I-rough open mapping, I-rough closed mapping

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