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Symbolic Galois Lattices with Pattern Structures

  • Conference paper
Rough Sets, Fuzzy Sets, Data Mining and Granular Computing (RSFDGrC 2011)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6743))

Abstract

Concept lattices are mathematical structures useful for many tasks in knowledge discovery and management. A concept lattice is basically obtained from binary data encoding the membership of some attributes to some objects. Dealing with complex data brings the important problem of discretization and the associated loss of information. To avoid discretization, (i) pattern structures and (ii) symbolic data analysis provide means to analyze such complex data directly. We compare both these approaches and show how they are mutually beneficial.

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References

  1. Bock, H.H., Diday, E. (eds.): Analysis of Symbolic Data – Exploratory Methods for Extracting Statistical Information from Complex Data. Springer, Heidelberg (2000)

    MATH  Google Scholar 

  2. Brito, P.: Hierarchical and Pyramidal Clustering with Complete Symbolic Objects. In: Bock, H.H., Diday, E. (eds.) [1], pp. 312–324

    Google Scholar 

  3. Brito, P., Polaillon, G.: Structuring probabilistic data by Galois lattices. Mathématiques et sciences humaines 169 (2005)

    Google Scholar 

  4. Ganter, B., Wille, R.: Formal Concept Analysis. Springer, Heidelberg (1999)

    Book  MATH  Google Scholar 

  5. Ganter, B., Kuznetsov, S.O.: Pattern structures and their projections. In: Delugach, H.S., Stumme, G. (eds.) ICCS 2001. LNCS (LNAI), vol. 2120, pp. 129–142. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  6. Kaytoue, M., Assaghir, Z., Messai, N., Napoli, A.: Two complementary classification methods for designing a concept lattice from interval data. In: Link, S., Prade, H. (eds.) FoIKS 2010. LNCS, vol. 5956, pp. 345–362. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  7. Kaytoue, M., Assaghir, Z., Napoli, A., Kuznetsov, S.O.: Embedding tolerance relations in formal concept analysis: an application in information fusion. In: Huang, J., Koudas, N., Jones, G., Wu, X., Collins-Thompson, K., An, A. (eds.) CIKM, pp. 1689–1692. ACM, New York (2010)

    Google Scholar 

  8. Kaytoue, M., Kuznetsov, S.O., Napoli, A., Duplessis, S.: Mining gene expression data with pattern structures in formal concept analysis. Information Science (2010) (in press)

    Google Scholar 

  9. Kuznetsov, S.O.: Pattern structures for analyzing complex data. In: Sakai, H., Chakraborty, M.K., Hassanien, A.E., Ślęzak, D., Zhu, W. (eds.) RSFDGrC 2009. LNCS, vol. 5908, pp. 33–44. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  10. Polaillon, G.: Pyramidal Classification for Interval Data using Galois Lattice Redutcion. In: Bock, H.H., Diday, E. (eds.) [1], pp. 324–341

    Google Scholar 

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© 2011 Springer-Verlag Berlin Heidelberg

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Agarwal, P., Kaytoue, M., Kuznetsov, S.O., Napoli, A., Polaillon, G. (2011). Symbolic Galois Lattices with Pattern Structures. In: Kuznetsov, S.O., Ślęzak, D., Hepting, D.H., Mirkin, B.G. (eds) Rough Sets, Fuzzy Sets, Data Mining and Granular Computing. RSFDGrC 2011. Lecture Notes in Computer Science(), vol 6743. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21881-1_31

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  • DOI: https://doi.org/10.1007/978-3-642-21881-1_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21880-4

  • Online ISBN: 978-3-642-21881-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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