Skip to main content

Fast Knowledge Reduction Algorithms Based on Quick Sort

  • Conference paper
Rough Sets and Knowledge Technology (RSKT 2008)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5009))

Included in the following conference series:

Abstract

Many researchers are working on developing fast data mining methods for processing huge data sets efficiently. In this paper, we develop some efficient algorithms for knowledge reduction based on rough sets. In these algorithms we use the fact that the average time complexity for the quick sort algorithm for a two dimensions table with n rows and m columns is just n×(m + logn) (not m×n×logn). Experiment results also show the efficiency of these algorithms.

This paper is partially supported by National Natural Science Foundation of China under Grants No.60773113 and No.60573068, Program for New Century Excellent Talents in University (NCET), Natural Science Foundation of Chongqing under Grant No.2005BA2003, Science & Technology Research Program of Chongqing Education Commission under Grant No.KJ060517.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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

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 Computer and Information Sciences 11, 341–356 (1982)

    Article  MathSciNet  MATH  Google Scholar 

  2. Skowron, A., Rauszer, C.: The Discernibility Functions Matrics and Functions in Information Systems. In: Slowinski, R. (ed.) Intelligent Decision Support - Handbook of Applications and Advances of the Rough Sets Theory, pp. 331–362. Kluwer Academic Publisher, Dordrecht (1992)

    Google Scholar 

  3. Hu, X.H., Cercone, N.: Learning in Relational Database: A Rough Set Approach. International Journal of Computional Intelligence 11(2), 323–338 (1995)

    Google Scholar 

  4. Nguyen, H.S., Nguyen, S.H.: Some Efficient Algorithms for Rough Set Methods. In: The Sixth International Conference, Information Procesing and Management of Uncertainty in Knowledge-Based Systems (IPMU 1996), Granada, Spain, July 1-5, 1996, vol. 2, pp. 1451–1456 (1996)

    Google Scholar 

  5. Wang, G.Y., Yu, H., Yang, D.C.: Decision Table Reduction Based on Conditional Information Entropy. Chinese Journal of computers 25(7), 759–766 (2002)

    MathSciNet  Google Scholar 

  6. Liu, S.H., Cheng, Q.J., Shi, Z.Z.: A New Method for Fast Computing Positve Region. Journal of Computer Research and Development 40(5), 637–642 (2003)

    Google Scholar 

  7. Wang, J., Wang, J.: Reduction Algorithms Based on Discernibility Matrix: the Ordered Attributed Method. Journal of Computer Science and Technology 11(6), 489–504 (2001)

    Article  Google Scholar 

  8. Zhao, M., Wang, J.: The Data Description Based on Reduct. PhD Thesis, Institute of Automation, Chinese Academy of Sciences. Beijing, China (in Chinese) (2004)

    Google Scholar 

  9. Mikhail, J.M., Marcin, P., Beata, Z.: On Partial Covers, Reducts and Decision Rules with Weights. In: Peters, J.F., Skowron, A., Düntsch, I., Grzymała-Busse, J.W., Orłowska, E., Polkowski, L. (eds.) Transactions on Rough Sets VI. LNCS, vol. 4374, pp. 211–246. Springer, Heidelberg (2007)

    Google Scholar 

  10. Qin, Z.R., Wu, Y., Wang, G.Y.: A Partition Algorithm for Huge Data Sets Based on Rough Set. Pattern Recognition and Artificial Intelligence 19(2), 249–256 (2006)

    Google Scholar 

  11. Hu, F., Wang, G.Y.: Analysis of the Complexity of Quick Sort for Two Dimension Table. Chinese Journal of Computers 30(6), 963–968 (2007) (in Chinese)

    MathSciNet  Google Scholar 

  12. Hu, F., Wang, G.Y., Xia, Y.: Attribute Core Computation Based on Divide and Conquer Method. In: Kryszkiewicz, M., Peters, J.F., Rybinski, H., Skowron, A. (eds.) RSEISP 2007. LNCS (LNAI), vol. 4585, pp. 310–319. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  13. Wang, G.Y.: Rough Set Theory and Knowledge Acquisition. Xi’an Jiaotong University Press, Xi’an (2001) (in Chinese)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Guoyin Wang Tianrui Li Jerzy W. Grzymala-Busse Duoqian Miao Andrzej Skowron Yiyu Yao

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Hu, F., Wang, G., Feng, L. (2008). Fast Knowledge Reduction Algorithms Based on Quick Sort. In: Wang, G., Li, T., Grzymala-Busse, J.W., Miao, D., Skowron, A., Yao, Y. (eds) Rough Sets and Knowledge Technology. RSKT 2008. Lecture Notes in Computer Science(), vol 5009. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79721-0_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-79721-0_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-79720-3

  • Online ISBN: 978-3-540-79721-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics