Multidistances and inequality measures on abstract sets: an axiomatic approach
| dc.contributor.author | Campión Arrastia, María Jesús | |
| dc.contributor.author | Díaz, Irene | |
| dc.contributor.author | Induráin Eraso, Esteban | |
| dc.contributor.author | Martín, Javier | |
| dc.contributor.author | Mayor, Gaspar | |
| dc.contributor.author | Montes Rodríguez, Susana | |
| dc.contributor.author | Raventós Pujol, Armajac | |
| dc.contributor.department | Estatistika, Informatika eta Matematika | eu |
| dc.contributor.department | Institute for Advanced Research in Business and Economics - INARBE | en |
| dc.contributor.department | Estadística, Informática y Matemáticas | es_ES |
| dc.date.accessioned | 2021-12-28T10:45:06Z | |
| dc.date.available | 2021-12-28T10:45:06Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | Starting from the notion of a multidistance, we formalize, through a suitable system of axioms, the concept of an inequality measure defined on a nonempty set with no additional structure implemented a priori. Among inequality measures, apart from multidistances we pay special attention to dispersions, and study their main features. Classical concepts will be generalized to this abstract setting. Multidistances are then revisited, and some new methods to generate them are implemented. A wide spectrum of interdisciplinary applications is outlined in the final section. | en |
| dc.description.sponsorship | This work is partially supported by the research projects ECO2015-65031-R , MTM2015-63608-P , TIN2016-77356-P , TIN2017-87600-P (MINECO/AEI-FEDER, UE) and PID2019-108392GB-I00 (AEI/10.13039/501100011033) | en |
| dc.format.extent | 16 p. | |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.doi | 10.1016/j.fss.2021.05.010 | |
| dc.identifier.issn | 0165-0114 | |
| dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/41503 | |
| dc.language.iso | eng | en |
| dc.publisher | Elsevier | en |
| dc.relation.ispartof | Fuzzy Sets and Systems | en |
| dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//ECO2015-65031-R/ES/ | |
| dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2015-63608-P/ES/ | |
| dc.relation.projectID | info:eu-repo/grantAgreement/ES/1PE/TIN2016-77356-P/ | |
| dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/TIN2017-87600-P/ES/ | |
| dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-108392GB-I00/ES/ | |
| dc.relation.publisherversion | http://doi.org/10.1016/j.fss.2021.05.010 | |
| dc.rights | © 2021 The Authors. Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International | es_ES |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.subject | Axiomatic definitions of means and dispersions | en |
| dc.subject | Inequality measures on general sets | en |
| dc.subject | Multidistances | en |
| dc.title | Multidistances and inequality measures on abstract sets: an axiomatic approach | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.type.version | info:eu-repo/semantics/publishedVersion | |
| dspace.entity.type | Publication | |
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