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Médianes métriques et latticielles

Author

Listed:
  • Olivier Hudry

    (TSP - INF - Département Informatique - TSP - Télécom SudParis - IMT - Institut Mines-Télécom [Paris] - IP Paris - Institut Polytechnique de Paris)

  • Bruno Leclerc

    (CAMS - Centre d'Analyse et de Mathématique sociales - EHESS - École des hautes études en sciences sociales - CNRS - Centre National de la Recherche Scientifique)

  • Bernard Monjardet

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Jean-Pierre Barthélemy

    (LUSSI - Département Logique des Usages, Sciences sociales et Sciences de l'Information - UEB - Université européenne de Bretagne - European University of Brittany - Télécom Bretagne - IMT - Institut Mines-Télécom [Paris])

Abstract

The chapter of this book presents the -linked- notions of metric and latticial medians and it explains what is the median procedure for the consensus problems, in particular in the case of the aggregation of linear orders. First we consider the medians of a v-tuple of arbitrary or particular binary relations.. Then we study in depth the difficult (in fact NP-difficult) problem of finding the median orders of a profile of linear orders. More generally, we consider the medians of v-tuples of elements of a semilattice and we describe the median semilattices, i.e. the semilattices were medians are easily computable.

Suggested Citation

  • Olivier Hudry & Bruno Leclerc & Bernard Monjardet & Jean-Pierre Barthélemy, 2006. "Médianes métriques et latticielles," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00292647, HAL.
    • Handle: RePEc:hal:cesptp:hal-00292647
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    2. Bernard Monjardet, 2008. ""Mathématique Sociale" and Mathematics. A case study: Condorcet's effect and medians," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00309825, HAL.

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