In many applications, such as case based reasoning, data mining or analogical reasoning, the choice of a particular measure of similarity is crucial. In this paper, we propose to study similarity measures from the point of view of the ordering relation they induce on object pairs. Using a classic method in measurement theory, introduced by Tversky, we establish necessary and sufficient conditions for the existence of a specific numerical measure, or a class of measures, to represent a given ordering relation, depending on the axioms this relation satisfies. The interest is particularly focused on different conditions of independence. © 2009 Springer Berlin Heidelberg.
CITATION STYLE
Bouchon-Meunier, B., Coletti, G., Lesot, M. J., & Rifqi, M. (2009). Towards a conscious choice of a similarity measure: A qualitative point of view. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5590 LNAI, pp. 542–553). https://doi.org/10.1007/978-3-642-02906-6_47
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