Table of Contents Author Guidelines Submit a Manuscript
Advances in Fuzzy Systems
Volume 2013, Article ID 197435, 12 pages
http://dx.doi.org/10.1155/2013/197435
Research Article

The Parameter Reduction of Fuzzy Soft Sets Based on Soft Fuzzy Rough Sets

College of Mathematics and Computer Science, Hebei University, Baoding, Hebei 071002, China

Received 28 September 2012; Revised 21 April 2013; Accepted 8 May 2013

Academic Editor: Martine de Cock

Copyright © 2013 Zhiming Zhang. 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

Fuzzy set theory, rough set theory, and soft set theory are three effective mathematical tools for dealing with uncertainties and have many wide applications both in theory and practise. Meng et al. (2011) introduced the notion of soft fuzzy rough sets by combining fuzzy sets, rough sets, and soft sets all together. The aim of this paper is to study the parameter reduction of fuzzy soft sets based on soft fuzzy rough approximation operators. We propose some concepts and conditions for two fuzzy soft sets to generate the same lower soft fuzzy rough approximation operators and the same upper soft fuzzy rough approximation operators. The concept of reduct of a fuzzy soft set is introduced and the procedure to find a reduct for a fuzzy soft set is given. Furthermore, the concept of exclusion of a fuzzy soft set is introduced and the procedure to find an exclusion for a fuzzy soft set is given.