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Ensembles ordonnés finis : concepts, résultats, usages

Author

Listed:
  • Nathalie Caspard

    (LACL - Laboratoire d'Algorithmique Complexité et Logique - UPEC UP12 - Université Paris-Est Créteil Val-de-Marne - Paris 12 - CNRS - Centre National de la Recherche Scientifique)

  • 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)

Abstract

Les notions d'ordre, de classement, de rangement sont présentes dans de multiples activités er situations humaines. La formalisation mathématique de ces notions a permis d'abord le grand développement de la théorie des treillis, puis celui de structures ordonnées plus générales, notamment celles relevant des mathématiques discrètes. Les buts principaux de cet ouvrage qui comble un vide sont donc de:- donner les concepts et résultats fondamentaux sur les ensembles ordonnés finis,- présenter leurs usages dans des domaines variés (de la RO ou l'AI à à la micro-économie),- signaler un certain nombre de résultats et de recherches en cours. Le lecteur sera ainsi à même de trouver tout ce qu'il a besoin de connaître sur ces structures sans avoir à essayer de le trouver dans de multiples revues relevant de disciplines variées.

Suggested Citation

  • Nathalie Caspard & Bruno Leclerc & Bernard Monjardet, 2007. "Ensembles ordonnés finis : concepts, résultats, usages," Post-Print halshs-00197128, HAL.
    • Handle: RePEc:hal:journl:halshs-00197128
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    Cited by:

    1. Irène Charon & Olivier Hudry, 2010. "An updated survey on the linear ordering problem for weighted or unweighted tournaments," Annals of Operations Research, Springer, vol. 175(1), pages 107-158, March.
    2. Bruno Leclerc & Bernard Monjardet, 2010. "Aggregation and residuation," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00504982, HAL.
    3. Miguel Couceiro & Michel Grabisch, 2013. "On the poset of computation rules for nonassociative calculus," PSE-Ecole d'économie de Paris (Postprint) hal-00787750, HAL.
    4. Olivier Hudry, 2008. "NP-hardness results for the aggregation of linear orders into median orders," Annals of Operations Research, Springer, vol. 163(1), pages 63-88, October.

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