Skip to main content

The Reduction Theory of Object Oriented Concept Lattices and Property Oriented Concept Lattices

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5589))

Abstract

Knowledge reduction is a basic issue in knowledge representation and data analysis. Suggested by the reduction theory of classical concept lattices, this paper discusses the reduction theory of object oriented concept lattices and property oriented concept lattices. Many consistence judgement theorems are studied and proposed firstly, and then, the reduction theorem is obtained consequently.

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   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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Godin, R.: Incremental concept formation algorithm based on Galois lattices. Comput. Intell. 11(2), 246–267 (1995)

    Article  Google Scholar 

  2. Hu, K., Sui, Y., Lu, Y., et al.: Concept approximation in concept lattice. In: Zhong, N., Skowron, A., Ohsuga, S. (eds.) RSFDGrC 1999. LNCS, vol. 1711, pp. 91–99. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  3. Kent, R.E., Bowman, C.M.: Digital Libraries, Conceptual Knowledge Systems and the Nebula Interface. Technical Report, University of Arkansas (1995)

    Google Scholar 

  4. Sutton, A., Maletic, J.I.: Recovering UML class models from C++: a detailed explanation. Inf. Softw. Technol. 48(3), 212–229 (2007)

    Article  Google Scholar 

  5. Wille, R.: Restructuring lattice theory: an approach based on hierarchies of concept, ordered sets. In: Rival, I. (ed.), pp. 445–470. Reidel, Dordrecht (1982)

    Google Scholar 

  6. Wang, X., Ma, J.M.: A novel approach to attribute reduction in concept lattices. In: Wang, G.-Y., Peters, J.F., Skowron, A., Yao, Y. (eds.) RSKT 2006. LNCS, vol. 4062, pp. 522–529. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  7. Yao, Y.Y.: Concept lattices in rough set theory. In: Dick, S., Kurgan, L., Pedrycz, W., Reformat, M. (eds.) Proceedings of 2004 Annual Meeting of the North American Fuzzy Information Processing Society, June 27-30, 2004, pp. 796–801 (2004)

    Google Scholar 

  8. Zhang, W.X., Wei, L., Qi, J.J.: Attribute reduction theory and approach to concept analysis. Sci. China Ser. F-Inf. Sci. 48(6), 713–726 (2005)

    Article  MATH  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

Liu, MQ., Wei, L., Zhao, W. (2009). The Reduction Theory of Object Oriented Concept Lattices and Property Oriented Concept Lattices. In: Wen, P., Li, Y., Polkowski, L., Yao, Y., Tsumoto, S., Wang, G. (eds) Rough Sets and Knowledge Technology. RSKT 2009. Lecture Notes in Computer Science(), vol 5589. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02962-2_74

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-02962-2_74

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02961-5

  • Online ISBN: 978-3-642-02962-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics