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Abstract and Applied Analysis
Volume 2013, Article ID 189208, 7 pages
Research Article

New Rough Set Approximation Spaces

Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt

Received 1 September 2012; Revised 22 November 2012; Accepted 28 November 2012

Academic Editor: Ziemowit Popowicz

Copyright © 2013 H. M. Abu-Donia. 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.


Rough set theory was introduced by Pawlak in 1982 to handle imprecision, vagueness, and uncertainty in data analysis. Our aim is to generalize rough set theory by introducing concepts of -lower and -upper approximations which depends on the concept of -sets. Also, we study some of their basic properties.