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.
Domaines
Intelligence artificielle [cs.AI]
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