Skip to main content

An Improved Ant Colony Optimization Applied to Attributes Reduction

  • Conference paper
Fuzzy Information and Engineering

Part of the book series: Advances in Soft Computing ((AINSC,volume 54))

Abstract

Attribute reduction problem (ARP) in rough set theory is an NP-hard problem, which is difficult to use fast traditional method to solve. In this paper, we discuss about the difference between the traveling salesman problems (TSP) and the ARP, and then we bring up a new state transition probability formula and a new pheromone traps increment formula of ant colony optimization. The results demonstrate that the improved ant colony optimization is better than initial ant colony optimization used in attribute reduction and more suitable for ARP.

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 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
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  MATH  MathSciNet  Google Scholar 

  2. Theodoridis, S., Koutroumbas, K.: Pattern Recognition. Academic Press, New York (2006)

    MATH  Google Scholar 

  3. Pawlak, Z.: Rough Sets: Theoretical Aspects of Reasoning About Data. Kluwer Academic Publishers, Boston (1991)

    MATH  Google Scholar 

  4. Pawlak, Z.: Rough sets and data analysis. In: Proceedings of the Asian Fuzzy Systems Symposium, pp. 1–6 (1996)

    Google Scholar 

  5. Skowron, A., Pal, S.K.: Rough sets, pattern recognition, and data mining. Pattern Recognition Letters 24, 829–933 (2003)

    Article  Google Scholar 

  6. Swiniarski, R.W., Skowron, A.: Rough set methods in feature selection and recognition. Pattern Recognition Letters 24, 833–849 (2003)

    Article  MATH  Google Scholar 

  7. Pawlak, Z., Skowron, A.: Rudiments of rough sets. Information Sciences 177, 3–27 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  8. Wong, S.K.M., Ziarko, W.: On optional decision rules in decision tables. Bulletin of Polish Academy of Science 33, 693–696 (1985)

    MATH  MathSciNet  Google Scholar 

  9. Jensen, R., Shen, Q.: Semantics-preserving dimensionality reduction: rough and fuzzy-rough-based approaches. IEEE Trans. Knowledge Data Eng. 16, 1457–1471 (2004)

    Article  Google Scholar 

  10. Bazan, J., Nguyen, H.S., Nguyen, S.H., Synak, P., Wróblewski, J.: Rough set algorithms in classification problem. In: Polkowski, L., Tsumoto, S., Lin, T.Y. (eds.) Rough Set Methods and Applications, pp. 49–88. Physica-Verlag, Heidelberg (2000)

    Google Scholar 

  11. Wróblewski, J.: Finding minimal reducts using genetic algorithms. In: Proc. 2nd Annual Joint Conf. on Information Sciences, Wrightsville Beach, NC, pp. 186–189 (1995)

    Google Scholar 

  12. Liangjun, K., Zuren, F., Zhigang, R.: An efficient ant colony optimization approach to attribute reduction in rough set theory. Pattern Recognition Letters 29, 1351–1357 (2008)

    Article  Google Scholar 

  13. Jensen, R., Shen, Q.: Finding rough set reducts with ant colony optimization. In: Proceedings of UK Workshop on Computational Intelligence, pp. 15–22 (2003)

    Google Scholar 

  14. Wang, X., Yang, J., Teng, X., Xia, W., Jensen, R.: Feature selection based on rough sets and particle swarm optimization. Pattern Recognition Letters 28, 459–471 (2007)

    Article  Google Scholar 

  15. Dorigo, M., Maniezzo, V., Colorni, A.: Ant system: Optimization by a colony of cooperating agents. IEEE Trans. Syst. Man Cybern. B 26, 29–41 (1996)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Deng, Tq., Yang, Cd., Zhang, Yt., Wang, Xx. (2009). An Improved Ant Colony Optimization Applied to Attributes Reduction. In: Cao, By., Zhang, Cy., Li, Tf. (eds) Fuzzy Information and Engineering. Advances in Soft Computing, vol 54. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88914-4_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-88914-4_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-88913-7

  • Online ISBN: 978-3-540-88914-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics