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The Scientific World Journal
Volume 2014, Article ID 307468, 9 pages
Research Article

On Distribution Reduction and Algorithm Implementation in Inconsistent Ordered Information Systems

School of Economics, Xuzhou Institute of Technology, Xuzhou, Jiangsu 221008, China

Received 19 May 2014; Accepted 11 August 2014; Published 28 August 2014

Academic Editor: Weihua Xu

Copyright © 2014 Yanqin 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.


As one part of our work in ordered information systems, distribution reduction is studied in inconsistent ordered information systems (OISs). Some important properties on distribution reduction are studied and discussed. The dominance matrix is restated for reduction acquisition in dominance relations based information systems. Matrix algorithm for distribution reduction acquisition is stepped. And program is implemented by the algorithm. The approach provides an effective tool for the theoretical research and the applications for ordered information systems in practices. For more detailed and valid illustrations, cases are employed to explain and verify the algorithm and the program which shows the effectiveness of the algorithm in complicated information systems.