We consider objects associated with a fuzzy set-based representation. By using a classic method of measurement theory, we characterize dissimilarity relations agreeing with a particular class of fuzzy dissimilarity measures. Dissimilarity measures in the considered class are those only depending on the attribute-wise distance of fuzzy description profiles. In particular, we analyze the subclass of weighted Manhattan dissimilarity measures.
A Measurement Theory Characterization of a Class of Dissimilarity Measures for Fuzzy Description Profiles / Coletti, Giulianella; Petturiti, Davide; Bouchon-Meunier, Bernadette. - CCIS 1238:(2020), pp. 258-268. ( 18th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2020) Lisbon, Portugal ) [10.1007/978-3-030-50143-3_20].
A Measurement Theory Characterization of a Class of Dissimilarity Measures for Fuzzy Description Profiles
Davide Petturiti
;
2020
Abstract
We consider objects associated with a fuzzy set-based representation. By using a classic method of measurement theory, we characterize dissimilarity relations agreeing with a particular class of fuzzy dissimilarity measures. Dissimilarity measures in the considered class are those only depending on the attribute-wise distance of fuzzy description profiles. In particular, we analyze the subclass of weighted Manhattan dissimilarity measures.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
