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 Similarity Measure: A Qualitative Point of View
COLETTI, Giulianella;
2009
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.File in questo prodotto:
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