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

Bernadette Bouchon-Meunier 1 Giulianella Coletti 2 Marie-Jeanne Lesot 1 Maria Rifqi 1
1 MALIRE - Machine Learning and Information Retrieval
LIP6 - Laboratoire d'Informatique de Paris 6
2 Dipartimento Matematica e Informatica
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.
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Communication dans un congrès
International conference on Information Processing and Management of Uncertainty in knowledge-based systems, IPMU 2010, Jun 2010, Dortmund, Germany. Springer, 6178, pp.1-10, 2010, Lecture Notes in Computer Science. 〈10.1007/978-3-642-14049-5_1〉
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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. Springer, 6178, pp.1-10, 2010, Lecture Notes in Computer Science. 〈10.1007/978-3-642-14049-5_1〉. 〈hal-01072127〉

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