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Several approaches to attribute reduction in variable precision rough set model

Published: 25 July 2005 Publication History

Abstract

In this paper, we discuss attribute reduction in variable precision rough set model. We consider several kinds of reducts preserving some of lower approximations, upper approximations, boundary regions and the unpredictable region. We show relations among those kinds of reducts. Moreover we discuss logical function representations of the preservation of lower approximations, upper approximations, boundary regions and the unpredictable region as a basis for reduct calculation. By those discussions, the great difference between the analysis using variable precision rough sets and the classical rough set analysis is emphasized.

References

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Grzymala-Busse, J. W.: LERS - A system for learning from examples based on rough sets. in: S_lowinski, R. (ed.) Intelligent Decision Support: Handbook of Applications and Advances of the Rough Sets Theory, Kluwer Academic Publishers, Dordrecht (1992) 3-18.
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Inuiguchi, M., Tsurumi, M.: On utilization of upper approximations in rough set analysis, Pro. Int. Workshop of Fuzzy Syst. & Innovational Comput. (2004) CDROM
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Pawlak, Z.: Rough Sets: Theoretical Aspects of Reasoning About Data, Kluwer Academic Publishers, Boston, MA (1991)
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Skowron, A., Rauser, C. M.: The discernibility matrix and functions in information systems. in: S_lowinski, R. (ed.) Intelligent Decision Support: Handbook of Applications and Advances of the Rough Sets Theory, Kluwer Academic Publishers, Dordrecht (1992) 331-362.
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Ślezak, D.: Various approaches to reasoning with frequency based decision reducts: a survey. in: Polkowski, L., Tsumoto, S., Lin, T. Y.(Eds.), Rough Set Methods and Applications, Physica-Verlag, Heidelberg (2000) 235-285.
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Ślezak, D., Ziarko, W.: Attribute reduction in the Bayesian version of variable precision rough set model, Electr. Notes Theor. Comput. Sci. 82 (4) (2003)
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Ziarko, W: Analysis of uncertain information in the framework of variable precision rough sets. Foundations of Comput. Dec. Sci. 18 (1993) 381-396.

Cited By

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  • (2013)Alternative rule induction methods based on incremental object using rough set theoryApplied Soft Computing10.1016/j.asoc.2012.08.04213:1(372-389)Online publication date: 1-Jan-2013
  • (2012)Cancer data investigation using variable precision Rough set with flexible classificationProceedings of the Second International Conference on Computational Science, Engineering and Information Technology10.1145/2393216.2393295(472-475)Online publication date: 26-Oct-2012
  • (2008)A model of user-oriented reduct construction for machine learningTransactions on rough sets VIII10.5555/1806237.1806252(332-351)Online publication date: 1-Jan-2008
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Information & Contributors

Information

Published In

cover image Guide Proceedings
MDAI'05: Proceedings of the Second international conference on Modeling Decisions for Artificial Intelligence
July 2005
468 pages
ISBN:3540278710
  • Editors:
  • Vicenç Torra,
  • Yasuo Narukawa,
  • Sadaaki Miyamoto

Sponsors

  • Catalan Association for Artificial Intelligence: Catalan Association for Artificial Intelligence
  • Japan Society for Fuzzy Theory and Intelligent Informatics: Japan Society for Fuzzy Theory and Intelligent Informatics
  • EUSFLAT: European Society for Fuzzy Technology Logic and Technology
  • Generalitat de Catalunya: Generalitat de Catalunya
  • Department of Risk Engineering of the University of Tsukuba: Department of Risk Engineering of the University of Tsukuba

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Springer-Verlag

Berlin, Heidelberg

Publication History

Published: 25 July 2005

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Cited By

View all
  • (2013)Alternative rule induction methods based on incremental object using rough set theoryApplied Soft Computing10.1016/j.asoc.2012.08.04213:1(372-389)Online publication date: 1-Jan-2013
  • (2012)Cancer data investigation using variable precision Rough set with flexible classificationProceedings of the Second International Conference on Computational Science, Engineering and Information Technology10.1145/2393216.2393295(472-475)Online publication date: 26-Oct-2012
  • (2008)A model of user-oriented reduct construction for machine learningTransactions on rough sets VIII10.5555/1806237.1806252(332-351)Online publication date: 1-Jan-2008
  • (2008)Attribute reduction in decision-theoretic rough set modelsInformation Sciences: an International Journal10.1016/j.ins.2008.05.010178:17(3356-3373)Online publication date: 1-Sep-2008

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