Journal of Applied Mathematics
Volume 2012 (2012), Article ID 125614, 15 pages
http://dx.doi.org/10.1155/2012/125614
Research Article

Closed Int Soft -Ideals and Int Soft c- -Ideals

Young Bae Jun,1 Kyoung Ja Lee,2 and Eun Hwan Roh3

1Department of Mathematics Education (and RINS), Gyeongsang National University, Chinju 660-701, Republic of Korea
2Department of Mathematics Education, Hannam University, Daejeon 306-791, Republic of Korea
3Department of Mathematics Education, Chinju National University of Education, Chinju 660-756, Republic of Korea

Received 18 July 2012; Accepted 10 November 2012

Academic Editor: Nazim Idrisoglu Mahmudov

Copyright © 2012 Young Bae Jun 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 lay a foundation for providing a soft algebraic tool in considering many problems that contain uncertainties. In order to provide these soft algebraic structures, the notions of closed intersectional soft -ideals and intersectional soft commutative -ideals are introduced, and related properties are investigated. Conditions for an intersectional soft -ideal to be closed are provided. Characterizations of an intersectional soft commutative -ideal are established, and a new intersectional soft c- -ideal from an old one is constructed.