Table of Contents
ISRN Algebra
Volume 2014, Article ID 635783, 8 pages
http://dx.doi.org/10.1155/2014/635783
Research Article

An Investigation on Algebraic Structure of Soft Sets and Soft Filters over Residuated Lattices

1Department of Mathematics, Persian Gulf University, Bushehr 75169, Iran
2Department of Mathematics, Yazd University, Yazd, Iran

Received 23 September 2013; Accepted 29 October 2013; Published 13 March 2014

Academic Editors: H. S. Kim, T. Nakatsu, and S. Yang

Copyright © 2014 S. Rasouli and B. Davvaz. 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 introduce the notion of soft filters in residuated lattices and investigate their basic properties. We investigate relations between soft residuated lattices and soft filter residuated lattices. The restricted and extended intersection (union), and -intersection, cartesian product, and restricted and extended difference of the family of soft filters residuated lattices are established. Also, we consider the set of all soft sets over a universe set and the set of parameters with respect to , (), and we study its structure.