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Advances in Fuzzy Systems
Volume 2009 (2009), Article ID 586507, 6 pages
http://dx.doi.org/10.1155/2009/586507
Research Article

On Fuzzy Soft Sets

1Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, 60800 Multan, Pakistan
2Department of Mathematics, King Abdul Aziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Received 17 November 2008; Revised 28 February 2009; Accepted 5 June 2009

Academic Editor: Yasar Becerikli

Copyright © 2009 B. Ahmad and Athar Kharal. 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 further contribute to the properties of fuzzy soft sets as defined and studied in the work of Maji et al. ( 2001), Roy and Maji (2007), and Yang et al. (2007) and support them with examples and counterexamples. We improve Proposition 3.3 by Maji et al., (2001). Finally we define arbitrary fuzzy soft union and fuzzy soft intersection and prove DeMorgan Inclusions and DeMorgan Laws in Fuzzy Soft Set Theory.