Skip to main content

A New Multivariate Decision Tree Construction Algorithm Based on Variable Precision Rough Set

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2762))

Abstract

In this paper we extend previous research and present a novel approach to construct multivariate decision tree, which has to some extent the ability of fault tolerance, by employing a development of RST, namely the variable precision rough sets (VPRS) model. Based on variable precision rough set theory, a new concept of generalization of one equivalence relation with respect to another one with precision β is introduced and used for construction of multivariate decision tree. The experimentation result shows its fitness to create multivariate decision tree retrieved from noisy data.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Pawlak, Z.: Rough sets. International Journal of Information and Computer Sciences 11(5), 341–356 (1982)

    Article  MATH  MathSciNet  Google Scholar 

  2. Pawlak, Z., Slowinski, K., Slowinski, R.: Rough classification of patients after highly selective vagotomy for duodenal ulcer. International Journal of Man–Machine Studies 24, 413–433 (1986)

    Article  Google Scholar 

  3. Pawlak, Z.: Rough Sets, Theoretical Aspects of Reasoning about Data. Kluwer, Dordrecht (1991)

    MATH  Google Scholar 

  4. Mollestad, T., Skowron, A.: A rough set framework for data mining of propositional default rules. In: Michalewicz, M., Raś, Z.W. (eds.) ISMIS 1996. LNCS, vol. 1079, pp. 448–457. Springer, Heidelberg (1996)

    Google Scholar 

  5. Ziarko, W.: Variable Precision Rough Set Model. Journal of Computer and System Sciences 46, 39–59 (1991)

    Article  MathSciNet  Google Scholar 

  6. Polkowski, L., Skowron, A.: Rough Sets in Knowledge Discovery 1 and 2. Physica-Verlag, Heidelberg (1998)

    Google Scholar 

  7. Beynon, M.J., Peel, M.J.: Variable precision rough set theory and data discretisation: an application to corporate failure prediction. Omega 29(6), 561–576 (2001)

    Article  Google Scholar 

  8. Beynon, M.: Reducts within the variable precision rough sets model: A further investigation. European Journal of Operational Research 134(3), 592–605 (2001)

    Article  MATH  Google Scholar 

  9. Quinlan, J.R.: Induction of decision trees. Machine Learning 1(1), 81–106 (1986)

    Google Scholar 

  10. Lambert-Torres, G., et al.: Power System Security Analysis based on Rough Classification. In: Pal, S.K., Skowron, A. (eds.) Rough-Fuzzy Hybridization: New Trend in Decision Making, por, pp. 263–274. Springer-Verlag Co, Heidelberg (1999)

    Google Scholar 

  11. Mitra, S.: Data Mining in Soft Computing Framework: A Survey. IEEE TRANSACTIONS ON NEURAL NETWORKS 13(1) (January 2002)

    Google Scholar 

  12. Miao, D.Q., Wang, Y.: Rough Sets Based Approach For Multivariate Decision Tree Construction. Journal of Software 8(6), 425–431 (1997)

    Google Scholar 

  13. Bleyberg, M.Z., Elumalai, A.: Using rough sets to construct sense type decision trees for text categorization, http://www.cis.ksu.edu/~maria/research.html

  14. Ziarko, W.: A variable precision rough set model. Journal of Computer and System Sciences 46, 39–59 (1993)

    Article  MATH  MathSciNet  Google Scholar 

  15. Fayyad, U., Irani, K.: Multi-interval discretization of continuous-valued attributes for classification learning. In: Proceedings of the 13th International Joint Conference on Arti9cial Intelligence, pp. 1022–1027. Kaufmann, Chambery (1993)

    Google Scholar 

  16. ChiMerge, K.R.: discretization of numeric attributes. In: Proceedings of the Ninth International Conference onArti9cial Intelligence (AAAI), pp. 123–128. AAAI Press=The MITS Press (1992)

    Google Scholar 

  17. Liu, H., Setiono, R.: Feature selection via discretization. IEEE Transactions on Knowledge and Data Engineering 9(4), 642–645 (1997)

    Article  Google Scholar 

  18. Zhang, L., Yu, S., Ye, Y.M.: SLMBSVMs: A structural-loss-minimization-based support vector machines approach. In: IEEE The First International Conference on Machine Learning and Cybernetics (2002)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Zhang, L., Ye, YM., Yu, S., Ma, FY. (2003). A New Multivariate Decision Tree Construction Algorithm Based on Variable Precision Rough Set. In: Dong, G., Tang, C., Wang, W. (eds) Advances in Web-Age Information Management. WAIM 2003. Lecture Notes in Computer Science, vol 2762. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45160-0_23

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-45160-0_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40715-7

  • Online ISBN: 978-3-540-45160-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics