Advances in Decision Sciences
Volume 2011 (2011), Article ID 495392, 17 pages
http://dx.doi.org/10.1155/2011/495392
Research Article

Rough Multisets and Information Multisystems

K. P. Girish1 and Sunil Jacob John2

1TIFAC Core in Cyber Security, Amrita Vishwa Vidyapeetham, Tamilnadu, Coimbatore 641 112, India
2Department of Mathematics, National Institute of Technology Calicut, Kerala, Calicut 673 601, India

Received 3 August 2011; Accepted 1 November 2011

Academic Editor: Graham Wood

Copyright © 2011 K. P. Girish and Sunil Jacob John. 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

Rough set theory uses the concept of upper and lower approximations to encapsulate inherent inconsistency in real-world objects. Information multisystems are represented using multisets instead of crisp sets. This paper begins with an overview of recent works on multisets and rough sets. Rough multiset is introduced in terms of lower and upper approximations and explores related properties. The paper concludes with an example of certain types of information multisystems.