International Journal of Mathematics and Mathematical Sciences
Volume 2011 (2011), Article ID 474375, 13 pages
http://dx.doi.org/10.1155/2011/474375
Research Article

Rough Filters in 𝐵 𝐿 -Algebras

Lida Torkzadeh1 and Shokoofeh Ghorbani2

1Department of Mathematics, Islamic Azad University, Kerman Branch, Kerman, Iran
2Department of Mathematics of Bam, Shahid Bahonar University, Kerman, Iran

Received 22 December 2010; Revised 10 March 2011; Accepted 4 April 2011

Academic Editor: Young Bae Jun

Copyright © 2011 Lida Torkzadeh and Shokoofeh Ghorbani. 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

We apply the rough set theory to 𝐵 𝐿 -algebras. As a generalization of filters (subalgebras) of 𝐵 𝐿 -algebras, we introduce the notion of rough filters (subalgebras) of 𝐵 𝐿 -algebras and investigate some of their properties.