Abstract
Attribute reduction is an important inductive learning issue addressed by the Rough Sets society. Most existing works on this issue use the minimal attribute bias, i.e., searching for reducts with the minimal number of attributes. But this bias does not work well for datasets where different attributes have different sizes of domains. In this paper, we propose a more reasonable strategy called the minimal attribute space bias, i.e., searching for reducts with the minimal attribute domain sizes product. In most cases, this bias can help to obtain reduced decision tables with the best space coverage, thus helpful for obtaining small rule sets with good predicting performance. Empirical study on some datasets validates our analysis.
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Zhong, N., Dong, J.: Using rough sets with heuristics for feature selection. Journal of Intelligent Information Systems 16, 199–214 (2001)
Pawlak, Z.: Rough sets. International Journal of Computer and Information Sciences 11, 341–356 (1982)
Pawlak, Z.: Some issues on rough sets. In: Peters, J.F., et al. (eds.) Transactions on Rough Sets I. LNCS, vol. 3100, pp. 1–58. Springer, Heidelberg (2004)
Zhang, W., Mi, J., Wu, W.: Knowledge reductions in inconsistent information systems. Chinese Journal of Computers 26(1), 12–18 (2003)
Yao, Y., Yan, Z., Wang, J.: On reduct construction algorithms. In: Wang, G.-Y., et al. (eds.) RSKT 2006. LNCS (LNAI), vol. 4062, pp. 297–304. Springer, Heidelberg (2006)
Skowron, A., Rauszer, C.: The discernibility matrices and functions in information systems. In: Słowiński, R. (ed.) Intelligent Decision Support–Handbook of Applications and Advances of the Rough Sets Theory, pp. 331–362. Kluwer Academic Publishers, Dordrecht (1992)
Xu, C., Min, F.: Weighted reduction for decision tables. In: Wang, L., et al. (eds.) FSKD 2006. LNCS (LNAI), vol. 4223, pp. 246–255. Springer, Heidelberg (2006)
Blake, C.L., Merz, C.J.: UCI repository of machine learning databases (1998), http://www.ics.uci.edu/~mlearn/mlrepository.html
Bazan, J., Szczuka, M.: The RSES homepage (1994–2005), http://alfa.mimuw.edu.pl/~rses
Quinlan, J.R.: Induction of decision trees. Machine Learning 1, 81–106 (1986)
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Min, F., Du, X., Qiu, H., Liu, Q. (2007). Minimal Attribute Space Bias for Attribute Reduction. In: Yao, J., Lingras, P., Wu, WZ., Szczuka, M., Cercone, N.J., Ślȩzak, D. (eds) Rough Sets and Knowledge Technology. RSKT 2007. Lecture Notes in Computer Science(), vol 4481. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72458-2_47
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DOI: https://doi.org/10.1007/978-3-540-72458-2_47
Publisher Name: Springer, Berlin, Heidelberg
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