Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 426901, 19 pages
Research Article

Ranking for Objects and Attribute Reductions in Intuitionistic Fuzzy Ordered Information Systems

School of Mathematics and Statistics, Chongqing University of Technology, Chongqing 400054, China

Received 27 November 2011; Accepted 12 March 2012

Academic Editor: Hung Nguyen-Xuan

Copyright © 2012 Xiaoyan Zhang and Weihua Xu. 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.


We aim to investigate intuitionistic fuzzy ordered information systems. The concept of intuitionistic fuzzy ordered information systems is proposed firstly by introducing an intuitionistic fuzzy relation to ordered information systems. And a ranking approach for all objects is constructed in this system. In order to simplify knowledge representation, it is necessary to reduce some dispensable attributes in the system. Theories of rough set are investigated in intuitionistic fuzzy ordered information systems by defining two approximation operators. Moreover, judgement theorems and methods of attribute reduction are discussed based on discernibility matrix in the systems, and an illustrative example is employed to show its validity. These results will be helpful for decisionmaking analysis in intuitionistic fuzzy ordered information systems.