Towards a conscious choice of a fuzzy similarity measure: a qualitative point of view - Inria - Institut national de recherche en sciences et technologies du numérique
Communication Dans Un Congrès Année : 2010

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

Résumé

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.
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Dates et versions

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

Identifiants

Citer

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⟩
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