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 sufficient conditions for the existence of a class of numerical similarity measures, to represent a given ordering relation, depending on the axioms this relation satisfies.

Towards a Conscious Choice of a Fuzzy Similarity Measure: A Qualitative Point of View.

COLETTI, Giulianella;
2010

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 sufficient conditions for the existence of a class of numerical similarity measures, to represent a given ordering relation, depending on the axioms this relation satisfies.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11391/173443
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