A Measurement Theory Characterization of a Class of Dissimilarity Measures for Fuzzy Description Profiles

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...

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Autores principales: Coletti, Giulianella, Petturiti, Davide, Bouchon-Meunier, Bernadette
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7274703/
http://dx.doi.org/10.1007/978-3-030-50143-3_20
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author Coletti, Giulianella
Petturiti, Davide
Bouchon-Meunier, Bernadette
author_facet Coletti, Giulianella
Petturiti, Davide
Bouchon-Meunier, Bernadette
author_sort Coletti, Giulianella
collection PubMed
description 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.
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spelling pubmed-72747032020-06-08 A Measurement Theory Characterization of a Class of Dissimilarity Measures for Fuzzy Description Profiles Coletti, Giulianella Petturiti, Davide Bouchon-Meunier, Bernadette Information Processing and Management of Uncertainty in Knowledge-Based Systems Article 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. 2020-05-15 /pmc/articles/PMC7274703/ http://dx.doi.org/10.1007/978-3-030-50143-3_20 Text en © Springer Nature Switzerland AG 2020 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Article
Coletti, Giulianella
Petturiti, Davide
Bouchon-Meunier, Bernadette
A Measurement Theory Characterization of a Class of Dissimilarity Measures for Fuzzy Description Profiles
title A Measurement Theory Characterization of a Class of Dissimilarity Measures for Fuzzy Description Profiles
title_full A Measurement Theory Characterization of a Class of Dissimilarity Measures for Fuzzy Description Profiles
title_fullStr A Measurement Theory Characterization of a Class of Dissimilarity Measures for Fuzzy Description Profiles
title_full_unstemmed A Measurement Theory Characterization of a Class of Dissimilarity Measures for Fuzzy Description Profiles
title_short A Measurement Theory Characterization of a Class of Dissimilarity Measures for Fuzzy Description Profiles
title_sort measurement theory characterization of a class of dissimilarity measures for fuzzy description profiles
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7274703/
http://dx.doi.org/10.1007/978-3-030-50143-3_20
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