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Journal of Applied Mathematics
Volume 2013 (2013), Article ID 105752, 7 pages
http://dx.doi.org/10.1155/2013/105752
Research Article

Operations on Soft Sets Revisited

1School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China
2State Key Laboratory of Networking and Switching, Beijing University of Posts and Telecommunications, Beijing 100876, China

Received 14 November 2012; Accepted 7 January 2013

Academic Editor: Han H. Choi

Copyright © 2013 Ping Zhu and Qiaoyan Wen. 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 concept of soft sets introduced by Molodtsov is a general mathematical tool for dealing with uncertainty. Just as the conventional set-theoretic operations of intersection, union, complement, and difference, some corresponding operations on soft sets have been proposed. Unfortunately, such operations cannot keep all classical set-theoretic laws true for soft sets. In this paper, we redefine the intersection, complement, and difference of soft sets and investigate the algebraic properties of these operations along with a known union operation. We find that the new operation system on soft sets inherits all basic properties of operations on classical sets, which justifies our definitions.