A local approach to concept generation

  • Authors:
  • Anne Berry;Jean-Paul Bordat;Alain Sigayret

  • Affiliations:
  • LIMOS, Aubière cedex, France 63173;LIRMM, Montpellier, France 34392;LIMOS, Aubière cedex, France 63173

  • Venue:
  • Annals of Mathematics and Artificial Intelligence
  • Year:
  • 2007

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Abstract

Generating concepts defined by a binary relation between a set $\mathcal{P}$ of properties and a set $\mathcal{O}$ of objects is one of the important current problems encountered in Data Mining and Knowledge Discovery in Databases. We present a new algorithmic process which computes all the concepts, without requiring an exponential-size data structure, and with a good worst-time complexity analysis, which makes it competitive with the best existing algorithms for this problem. Our algorithm can be used to compute the edges of the lattice as well at no extra cost.