Abstract
Rough set theory is a mathematic tool to handlevague and uncertain knowledge. The core problem of rough set theory is the reduction of attributes. This paperintroduces apresentation of the information granularity for ordered information systems based on dominance relation, and detail the way to calculate the attribute importance based on the information granularity we have defined. On that basis, put forward a heuristic attribute reduction algorithm for ordered information systems. Experiments show that the algorithm performs well and outperforms some other rivals.
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References
Pawlak, Z.: Roughsets. International Journal of Computer and Information Science 11, 341–356 (1982)
Chmielewski, M.R., Grzymala-Busse, J.W.: Globaldiscretization of continuous attributes aspreprocessing for machine learning. International Journal of Approximate Reasoning 15, 319–331 (1996)
Lingras, P.J., Yao, Y.Y.: Data mining using extensionsof the rough set model. Journal of the AmericanSociety for Information Science 49(5), 415–422 (1998)
McSherry, D.: Knowledge discovery by inspection. Decision Support Systems 21, 43–47 (1997)
Pomerol, J.C.: Artificial Intelligenceand HumanDecision Making. European Journal of Operational Research 99, 3–25 (1997)
Slowinski, R.: Intelligent Decision Support: Handbookof Applications and Advances of the Rough Sets Theory, pp. 23–33. Kluwer Academic Publishers, Dordrecht (1992)
Greco, S., Matarazzo, B., Slowingski, R.: Rough approximation of a preference relation by dominance relation. European Journal of Operation Research 117, 63–83 (1999)
Greco, S., Matarazzo, B., Słowiński, R.: A New Rough Set Approach to Multicriteria And Multiattribute Classification. In: Polkowski, L., Skowron, A. (eds.) RSCTC 1998. LNCS (LNAI), vol. 1424, pp. 60–67. Springer, Heidelberg (1998)
Greco, S., Matarazzo, B., Slowiński, R.: Rough approximation by dominance relations. International Journal of Inteligent System 17(2), 153–171 (2002)
Wong, S.K.M., Ziarko, W.: On Optimal Decision Rules in Decision Tables. Bulletin of Polish Academy of Sciences 33(11-12), 693–696 (1985)
Zhang, W.X., Liang, Y., Wu, W.Z.: Information Systems and Knowledge Discovery. Science Press, Beijing (2003) (in Chinese)
Xu, W.H., Zhang, W.Y.: Knowledge Reductions in Inconsistent Information Systems Based on Dominance Relations. Computer Science 33(2), 182–184 (2006)
Shao, M.W., Zhang, W.X.: Dominance Relation and Rules in an Incomplete Ordered Information System. International Journal of Intelligent Systems 20, 13–27 (2005)
Miao, D.Q., Wang, Y.: An Information Representation of the Concepts and Operations in Rough Set Theory. Journal of Software 10(2), 113–116 (1999)
Wang, G.Y.: Algebra View And Information View of Rough Sets Theory: Data Mining and Knowledge Discovery Theory, Tools, and Technology III. In: Proceeding of SPIE, vol. 4384, pp. 200–207 (2001)
Gui, X.C.: Attribute Reduction Algorithm Based on the Relative Entropy. Computer Engineering and Applications 42(33), 157–159 (2006)
Liang, J.Y., Xu, Z.B.: The Algorithm on Knowledge Reduction in Incomplete Information Systems. International Journal of Uncertainty, Fuzziness and Knowledge Based Systems 24(1), 95–103 (2002)
Liang, J.Y., Li, D.Y.: Uncertainty in Information Systems and Knowledge Acquisition. Science Press, Beijing (2005) (in Chinese)
Zhang, X.Y., Xu, W.H.: Entropy of Knowledge and Rough Set in Ordered Information Systems. Computer Engineering and Applications 43(27), 62–65 (2007)
Wang, Y., Qian, Y.H., Liang, J.Y.: Heuristic Attribute Reducton Algorithm to Ordered Information Systems. Computer Science 1, 258–260 (2010)
Gu, J.H., Zhou, Y.C., Song, J., Yan, J.Q.: A New Attribute Value Reduction Algorithm. Acta Scientiarum Naturalium University Nankaiensis 36(4), 38–42 (2003) (in Chinese)
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Li, W., Liu, F., Zhao, Zh. (2011). A Practicable Heuristic Attributes Reduction Algorithm for Ordered Information Systems. In: Wang, Y., Li, T. (eds) Foundations of Intelligent Systems. Advances in Intelligent and Soft Computing, vol 122. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25664-6_18
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DOI: https://doi.org/10.1007/978-3-642-25664-6_18
Publisher Name: Springer, Berlin, Heidelberg
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