2009, English, Article edition: Metric and latticial medians Monjardet, Bernard; Barthélemy, Jean-Pierre; Hudry, Olivier; ...

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Physical Description
  • text
Published
  • HAL - CCSD
  • 2009
Language
  • English

Edition details

Title
  • Metric and latticial medians
Author
  • Monjardet, Bernard
  • Barthélemy, Jean-Pierre
  • Hudry, Olivier
  • Leclerc, Bruno
Published
  • HAL - CCSD
  • 2009
Physical Description
  • text
Subjects
Notes
  • This paper 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.
  • HAL:halshs-00408174, version 1
  • HAL:http:/​/​halshs.archives-ouvertes.fr/​halshs-00408174/​en/​
Language
  • English
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