Ensemble clustering in the belief functions framework

  • Authors:
  • Marie-Hélène Masson;Thierry Denoeux

  • Affiliations:
  • Université de Picardie Jules Verne, IUT de l'Oise, BP 20529, 60205 Compiègne, France and Laboratoire Heudiasyc, UMR CNRS 6599, BP 20529, 60205 Compiègne, France;Université de Technologie de Compiègne, BP 20529, 60205 Compiègne, France and Laboratoire Heudiasyc, UMR CNRS 6599, BP 20529, 60205 Compiègne, France

  • Venue:
  • International Journal of Approximate Reasoning
  • Year:
  • 2011

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Abstract

In this paper, belief functions, defined on the lattice of intervals partitions of a set of objects, are investigated as a suitable framework for combining multiple clusterings. We first show how to represent clustering results as masses of evidence allocated to sets of partitions. Then a consensus belief function is obtained using a suitable combination rule. Tools for synthesizing the results are also proposed. The approach is illustrated using synthetic and real data sets.