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The Scientific World Journal
Volume 2014, Article ID 538968, 15 pages
http://dx.doi.org/10.1155/2014/538968
Research Article

Rough Set Approach to Incomplete Multiscale Information System

1School of Economics and Management, Nanjing University of Science and Technology, Nanjing 210094, China
2School of Computer Science and Engineering, Jiangsu University of Science and Technology, Zhenjiang 212003, China
3Key Laboratory of Intelligent Perception and Systems for High-Dimensional Information, Nanjing University of Science and Technology, Nanjing 210094, China

Received 12 June 2014; Accepted 15 July 2014; Published 17 August 2014

Academic Editor: Yunqiang Yin

Copyright © 2014 Xibei Yang et al. 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

Multiscale information system is a new knowledge representation system for expressing the knowledge with different levels of granulations. In this paper, by considering the unknown values, which can be seen everywhere in real world applications, the incomplete multiscale information system is firstly investigated. The descriptor technique is employed to construct rough sets at different scales for analyzing the hierarchically structured data. The problem of unravelling decision rules at different scales is also addressed. Finally, the reduct descriptors are formulated to simplify decision rules, which can be derived from different scales. Some numerical examples are employed to substantiate the conceptual arguments.