Open Access
2014 Uncertainty Measures in Ordered Information System Based on Approximation Operators
Bingjiao Fan, Weihua Xu, Jianhang Yu
Abstr. Appl. Anal. 2014: 1-17 (2014). DOI: 10.1155/2014/846205


This paper focuses on constructing uncertainty measures by the pure rough set approach in ordered information system. Four types of definitions of lower and upper approximations and corresponding uncertainty measurement concepts including accuracy, roughness, approximation quality, approximation accuracy, dependency degree, and importance degree are investigated. Theoretical analysis indicates that all the four types can be used to evaluate the uncertainty in ordered information system, especially that we find that the essence of the first type and the third type is the same. To interpret and help understand the approach, experiments about real-life data sets have been conducted to test the four types of uncertainty measures. From the results obtained, it can be shown that these uncertainty measures can surely measure the uncertainty in ordered information system.


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Bingjiao Fan. Weihua Xu. Jianhang Yu. "Uncertainty Measures in Ordered Information System Based on Approximation Operators." Abstr. Appl. Anal. 2014 1 - 17, 2014.


Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07023187
MathSciNet: MR3193553
Digital Object Identifier: 10.1155/2014/846205

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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