Mathematical Problems in Engineering
Volume 2011 (2011), Article ID 168501, 10 pages
http://dx.doi.org/10.1155/2011/168501
Research Article

Special Approach to Near Set Theory

M. E. Abd El-Monsef,1 H. M. Abu-Donia,2 and E. A. Marei1

1Department of Mathematics, Faculty of Science, Tanta University, Egypt
2Department of Mathematics, Faculty of Science, Zagazig University, Egypt

Received 27 February 2011; Accepted 13 May 2011

Academic Editor: P. Liatsis

Copyright © 2011 M. E. Abd El-Monsef et al. 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.

Abstract

The aim of this paper is to introduce two approaches to near sets by using a special neighbourhood. Some fundamental properties and characterizations are given. We obtain a comparison between these new set approximations as well as set approximations introduced by Peters (2011, 2009, 2007, 2006).