A new distance for fuzzy descriptions of measurements

Thomas Allevard (1) , Eric Benoit (1) , Laurent Foulloy (1)

1 LISTIC - Laboratoire d'Informatique, Systèmes, Traitement de l'Information et de la Connaissance

Fuzzy nominal scales were introduced in order to propose a formalism to the representation of empirical quantities by fuzzy subsets of words. This paper presents the results of studies on distances associated to this formalism and proposes a new distance operator.

Mots clés: Measurement theory; Fuzzy description; Fuzzy nominal scale; Fuzzy distance

Domaines: Instrumentations et Détecteurs [physics.ins-det]

Thomas Allevard, Eric Benoit, Laurent Foulloy. A new distance for fuzzy descriptions of measurements. XVIII IMEKO World Congress, Metrology for a Sustainable Development, Sep 2006, Rio de Janeiro, Brazil. pp.PWC-2006-TC7-018u. ⟨hal-00830856⟩