Publication: On the normalization of interval data
dc.contributor.author | Santiago, Regivan | |
dc.contributor.author | Bergamaschi, Flaulles | |
dc.contributor.author | Bustince Sola, Humberto | |
dc.contributor.author | Pereira Dimuro, Graçaliz | |
dc.contributor.author | Da Cruz Asmus, Tiago | |
dc.contributor.author | Sanz Delgado, José Antonio | |
dc.contributor.department | Estadística, Informática y Matemáticas | es_ES |
dc.contributor.department | Estatistika, Informatika eta Matematika | eu |
dc.date.accessioned | 2021-06-25T12:34:24Z | |
dc.date.available | 2021-06-25T12:34:24Z | |
dc.date.issued | 2020 | |
dc.description.abstract | The impreciseness of numeric input data can be expressed by intervals. On the other hand, the normalization of numeric data is a usual process in many applications. How do we match the normalization with impreciseness on numeric data? A straightforward answer is that it is enough to apply a correct interval arithmetic, since the normalized exact value will be enclosed in the resulting 'normalized' interval. This paper shows that this approach is not enough since the resulting 'normalized' interval can be even wider than the input intervals. So, we propose a pair of axioms that must be satisfied by an interval arithmetic in order to be applied in the normalization of intervals. We show how some known interval arithmetics behave with respect to these axioms. The paper ends with a discussion about the current paradigm of interval computations. | en |
dc.description.sponsorship | This study was funded by National Council for Scientific and Technological Development (CNPq) within the project 312053/2018-5, by Coordination for the Improvement of Higher Education Personnel (CAPES) within the project Capes-Print 88887.363001/2019-00. Ministerio de Ciencia y innovación within the project PID2019-108392GB-I00 (AEI/10.13039/501100011033). | en |
dc.format.extent | 18 p. | |
dc.format.mimetype | application/pdf | en |
dc.identifier.doi | 10.3390/math8112092 | |
dc.identifier.issn | 2227-7390 | |
dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/40056 | |
dc.language.iso | eng | en |
dc.publisher | MDPI | en |
dc.relation.ispartof | Mathematics, 2020, 8, 2092 | en |
dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-108392GB-I00/ES/ | en |
dc.relation.publisherversion | https://doi.org/10.3390/math8112092 | |
dc.rights | © 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license. | en |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
dc.subject | Interval arithmetics | en |
dc.subject | Intervals | en |
dc.subject | Normalization | en |
dc.subject | Normalization of interval data | en |
dc.subject | Partition principle and interval division structures | en |
dc.title | On the normalization of interval data | en |
dc.type | info:eu-repo/semantics/article | |
dc.type.version | info:eu-repo/semantics/publishedVersion | en |
dc.type.version | Versión publicada / Argitaratu den bertsioa | es |
dspace.entity.type | Publication | |
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