Multidistances and inequality measures on abstract sets: An axiomatic approach
| العنوان: | Multidistances and inequality measures on abstract sets: An axiomatic approach |
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| المؤلفون: | Esteban Induráin, Armajac Raventós-Pujol, Javier Martín, Gaspar Mayor, Irene Díaz, María Jesús Campión, Susana Montes |
| المساهمون: | Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa. Inarbe - Institute for Advanced Research in Business and Economics, Universidad Pública de Navarra. Departamento de Estadística, Informática y Matemáticas, Nafarroako Unibertsitate Publikoa. Estatistika, Informatika eta Matematika Saila |
| المصدر: | Academica-e. Repositorio Institucional de la Universidad Pública de Navarra instname Scopus RUO. Repositorio Institucional de la Universidad de Oviedo |
| بيانات النشر: | Elsevier BV, 2022. |
| سنة النشر: | 2022 |
| مصطلحات موضوعية: | 0209 industrial biotechnology, Inequality, Logic, media_common.quotation_subject, Structure (category theory), Axiomatic system, 02 engineering and technology, Axiomatic definitions of means and dispersions, Inequality measures on general sets, Spectrum (topology), Measure (mathematics), Set (abstract data type), 020901 industrial engineering & automation, Artificial Intelligence, Multidistances, 0202 electrical engineering, electronic engineering, information engineering, A priori and a posteriori, 020201 artificial intelligence & image processing, Mathematical economics, Axiom, Mathematics, media_common |
| الوصف: | 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. 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) |
| وصف الملف: | application/pdf |
| تدمد: | 0165-0114 |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a468a33f90b0a6af7d6616581c721a4bTest https://doi.org/10.1016/j.fss.2021.05.010Test |
| حقوق: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....a468a33f90b0a6af7d6616581c721a4b |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 01650114 |
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