Abstract
The classical multivariate statistical method can only discuss the effectiveness of result, but can’t explain the cause and intrinsic mechanism when dealing with classification problems. In this paper, a new rough sets decision method based on the Principal Component Analysis (PCA) and the ordinal regression is proposed which may help to explain the cause and the intrinsic mechanism of classification problems. An empirical study is employed to validate the reasonability and effectiveness of the proposed method.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Pawlak, Z.: Rough sets. International Journal of Computer and Information Science 11, 341–356 (1982)
Pawlak, Z.: Rough set theory and its application to data analysis. Cybernetics and Systems 29, 661–688 (1998)
Swiniarski, R.: Rough sets and principal component analysis and their applications in data model building and classification. In: Pal, S.K. (ed.) Rough Fuzzy Hybridization: New Trend in Decision Making, pp. 275–300. Springer, Singapore (1999)
Swiniarski, R.: Rough sets methods in feature reduction and selection. International Journal of Applied Mathematical and Computer Science 11, 565–582 (2001)
Swiniarski, R., Skowron, A.: Rough set methods in feature selection and recognition. Pattern Recognition Letters 24, 833–849 (2003)
Swiniarski, R., Skowron, A.: Independent component analysis, principal component analysis and rough sets in face recognition. Transactions on Rough Sets I, 392–404 (2004)
Zeng, A., Pan, D., Zheng, Q.L.: Knowledge acquisition based on rough set theory and principal analysis. IEEE Intelligent Systems, 78–85 (2006)
Zhang, W.X., Wu, W.Z.: Rough sets theory and methodology. The Press of Science, Beijing (2001) (in Chinese)
Wang, G.Y.: Rough sets theory and knowledge discovery. Xi’an Jiaotong University Press, Xi’an (2001) (in Chinese)
Liu, D., Hu, P., Jiang, C.Z.: The methodology of the variable precision rough set increment study based on completely information system. In: Wang, G.Y., Li, T., Grzymała-Busse, J.W., Miao, D., Skowron, A., Yao, Y. (eds.) RSKT 2008. LNCS (LNAI), vol. 5009, pp. 276–283. Springer, Heidelberg (2008)
Grzymala-Busse, J.W.: A comparison of three strategies to rule induction from data with numerical attributes. Electronic Notes in Theoretical Computer Science 82, 132–140 (2003)
Chan, C.C.: A rough set approach to attribute generalization in data mining. Information Sciences 107, 177–194 (1998)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Liu, D., Li, T., Hu, P. (2008). A New Rough Sets Decision Method Based on PCA and Ordinal Regression. In: Chan, CC., Grzymala-Busse, J.W., Ziarko, W.P. (eds) Rough Sets and Current Trends in Computing. RSCTC 2008. Lecture Notes in Computer Science(), vol 5306. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88425-5_36
Download citation
DOI: https://doi.org/10.1007/978-3-540-88425-5_36
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-88423-1
Online ISBN: 978-3-540-88425-5
eBook Packages: Computer ScienceComputer Science (R0)