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Uncovering and Reducing Hidden Combinatorics in Guigues-Duquenne Bases

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Formal Concept Analysis (ICFCA 2005)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3403))

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Abstract

Mannila and Räihä [5] have shown that minimum implicational bases can have an exponential number of implications. Aim of our paper is to understand how and why this combinatorial explosion arises and to propose mechanisms which reduce it.

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References

  1. Guigues, J.-L., Duquenne, V.: Famille minimale d’implications informatives résultant d’un tableau de donneés binaires. Mathématiques et sciences humaines, 24 (1986)

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  3. Ganter, B.: Finding closed sets under symmetry, FB4-Preprint 1307, TH Darmstadt (1990)

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  6. Medina, R., Nourine, L.: Clone items: a pre-processing information for knowledge discovery (Submitted)

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© 2005 Springer-Verlag Berlin Heidelberg

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Gély, A., Medina, R., Nourine, L., Renaud, Y. (2005). Uncovering and Reducing Hidden Combinatorics in Guigues-Duquenne Bases. In: Ganter, B., Godin, R. (eds) Formal Concept Analysis. ICFCA 2005. Lecture Notes in Computer Science(), vol 3403. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-32262-7_16

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  • DOI: https://doi.org/10.1007/978-3-540-32262-7_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-24525-4

  • Online ISBN: 978-3-540-32262-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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