Towards a conscious choice of a fuzzy similarity measure: a qualitative point of view - Archive ouverte HAL Access content directly
Conference Papers Year : 2010

Towards a conscious choice of a fuzzy similarity measure: a qualitative point of view

Abstract

In this paper, we propose to study similarity measures among fuzzy subsets from the point of view of the ranking relation they induce on object pairs. Using a classic method in measurement theory, introduced by Tversky, we establish necessary and su cient conditions for the existence of a class of numerical similarity measures, to represent a given ordering relation, depending on the axioms this relation satis es.
Fichier principal
Vignette du fichier
paper292BouchonColettiLesotRifqi.pdf (155.67 Ko) Télécharger le fichier
Origin : Publisher files allowed on an open archive
Loading...

Dates and versions

hal-01072127 , version 1 (07-10-2014)

Identifiers

Cite

Bernadette Bouchon-Meunier, Giulianella Coletti, Marie-Jeanne Lesot, Maria Rifqi. Towards a conscious choice of a fuzzy similarity measure: a qualitative point of view. International conference on Information Processing and Management of Uncertainty in knowledge-based systems, IPMU 2010, Jun 2010, Dortmund, Germany. pp.1-10, ⟨10.1007/978-3-642-14049-5_1⟩. ⟨hal-01072127⟩
129 View
200 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More