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hal-00651565, version 1

The principle of possibility maximum specificity as a basis for measurement uncertainty expression

Gilles Mauris () 1

IEEE Int. Workshop on Advanced Methods for Uncertainty Estimation in Measurement (AMUEM 09) (2009) 5-9

Résumé : This paper deals with the foundations of a possibility/fuzzy expression of measurement uncertainty. Indeed the notion of possibility distribution is clearly identified to a family of probability distributions whose coverage intervals are included in the level cuts of the possibility distribution Thus the fuzzy inclusion ordering, dubbed specificity ordering, constitutes the basis of a maximal specificity principle. The latter is sounder than the maximal entropy principle to deal with cases of partial or incomplete information in a measurement context. The two approaches can be compared on some common practical measurement cases thanks to the respective coverage intervals they provide.

  • 1 :  Laboratoire d'Informatique, Systèmes, Traitement de l'Information et de la Connaissance (LISTIC)
  • Université de Savoie : EA3703
  • Domaine : Mathématiques/Statistiques
    Statistiques/Théorie
  • Mots-clés : possibility theory – maximum entropy principle – maximum specificity principle – coverage intervals – measurement uncertainty.
 
  • hal-00651565, version 1
  • http://hal.archives-ouvertes.fr/hal-00651565
  • oai:hal.archives-ouvertes.fr:hal-00651565
  • Contributeur : Gilles Mauris <>
  • Soumis le : Mardi 13 Décembre 2011, 18:28:32
  • Dernière modification le : Mardi 13 Décembre 2011, 18:28:32