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Title: Multidistances and Dispersion Measures
Authors: Martínez Panero, Miguel
García Lapresta, José Luis
Meneses, Luis Carlos
Issue Date: 2016
Description: Producción Científica
Citation: Tomasa Calvo Sánchez, Joan Torrens Sastre (Editors). Fuzzy Logic and Information Fusion, 2016, Springer, p. 123-134 (Studies in Fuzziness and Soft Computing)
Abstract: In this paper, we provide a formal notion of absolute dispersion measure that is satisfied by some classical dispersion measures used in Statistics, such as the range, the variance, the mean deviation and the standard deviation, among others, and also by the absolute Gini index, used in Welfare Economics for measuring inequality. The notion of absolute dispersion measure shares some properties with the notion of multidistance introduced and analyzed by Mart´ın and Mayor in several recent papers. We compare absolute dispersion measures and multidistances and we establish that these two notions are compatible by showing some functions that are simultaneously absolute dispersion measures and multidistances. We also establish that remainders obtained through the dual decomposition of exponential means, introduced by Garc´ıa-Lapresta and Marques Pereira, are absolute dispersion measures up to sign
Keywords: Dispersión (Matemáticas)
ISBN: 978-3-319-30421-2
Sponsor: Ministerio de Economía, Industria y Competitividad (ECO2012-32178)
Junta de Castilla y León (programa de apoyo a proyectos de investigación – Ref. VA066U13)
Publisher Version:
Language: eng
Rights: info:eu-repo/semantics/openAccess
Appears in Collections:DEP20 - Capítulos de monografías

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