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Soft Computing
Published in: Soft Computing 15/2020

17-06-2020 | Foundations

A study of similarity measures through the paradigm of measurement theory: the fuzzy case

Authors: Giulianella Coletti, Bernadette Bouchon-Meunier

Published in: Soft Computing | Issue 15/2020

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Abstract

We extend to fuzzy similarity measures the study made for classical ones in a companion paper (Coletti and Bouchon-Meunier in Soft Comput 23:6827–6845, 2019). Using a classic method of measurement theory introduced by Tversky, we establish necessary and sufficient conditions for the existence of a particular class of fuzzy similarity measures, representing a binary relation among pairs of objects which expresses the idea of “no more similar than”. In this fuzzy context, the axioms are strictly dependent on the combination operators chosen to compute the union and the intersection.
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Appendix
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Metadata
Title
A study of similarity measures through the paradigm of measurement theory: the fuzzy case
Authors
Giulianella Coletti
Bernadette Bouchon-Meunier
Publication date
17-06-2020
Publisher
Springer Berlin Heidelberg
Published in
Soft Computing / Issue 15/2020
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-020-05054-9

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