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Information Sciences
Volume 141, Issues 3-4, April 2002, Pages 227-236
 
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doi:10.1016/S0020-0255(02)00174-3    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2002 Published by Elsevier Science Inc. All rights reserved.

Inclusion degree: a perspective on measures for rough set data analysis

Z. B. XuCorresponding Author Contact Information, a, J. Y. LiangE-mail The Corresponding Author, a, C. Y. Dangb and K. S. Chinb

a Faculty of Science, Institute for Information and System Science, Xi'an Jiaotong University, Xi'an 710049, China b Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Hong Kong

Received 6 June 2000; 
accepted 28 April 2001. 
Available online 14 May 2002.

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Abstract

Rough set data analysis is one of the main application techniques arising from rough set theory. In this paper we introduce a concept of inclusion degree into rough set theory and establish several important relationships between the inclusion degree and measures on rough set data analysis. It is shown that the measures on rough set data analysis can be reduced to the inclusion degree.

Author Keywords: Rough sets; Inclusion degree; Data analysis; Measure

Article Outline

1. Introduction
2. Inclusion degree
3. Basic concepts of rough sets
4. Relationships between inclusion degree and measures on rough set data analysis
4.1. Accuracy measure of rough set and degree of rough belonging can be reduced to inclusion degree
4.2. Accuracy of approximation of classification and quality of approximation of classification can be reduced to inclusion degree
4.3. Measure of dependency of attributes and measure of importance of attributes can be reduced to inclusion degree
4.4. Measure of the relative degree of misclassification can be reduced to inclusion degree
4.5. Accuracy and coverage of decision rule can be reduced to inclusion degree
5. Conclusions
Acknowledgements
References

Information Sciences
Volume 141, Issues 3-4, April 2002, Pages 227-236
 
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