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

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Rough Sets and Knowledge Technology (RSKT 2009)

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

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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.

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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 

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Authors and Affiliations

  1. Department of Mathematics, Northwest University, Xi’an, 710069, P.R. China

    Min-Qian Liu & Ling Wei

  2. Department Faculty of Science, Xi’an Jiaotong University, Xi’an, 710049, China

    Wei Zhao

Authors
  1. Min-Qian Liu
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  2. Ling Wei
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  3. Wei Zhao
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Editor information

Editors and Affiliations

  1. Faculty of Engineering and Surveying and Engineering, University of Southern Queensland, QLD 4350, Australia

    Peng Wen

  2. School of Information Technology, Queensland University of Technology, QLD 4001, Brisbane, Australia

    Yuefeng Li

  3. Institute of Mathematics, Warsaw University of Technology, Koszykowa 86, 02008, Warsaw, Poland

    Lech Polkowski

  4. Department of Computer Science, University of Regina, S4S 0A2, Regina, Saskatchewan, Canada

    Yiyu Yao

  5. Faculty of Medicine, Department of Medical Informatics, Shimane University, 89-1 Enya-cho, Izumo, 693-8501, Shimane, Japan

    Shusaku Tsumoto

  6. Institute of Computer Science and Technology, Chongqing University of Posts and Telecommunications, Chongqing, China

    Guoyin Wang

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© 2009 Springer-Verlag Berlin Heidelberg

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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

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  • 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)

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