Mixture functions and their monotonicity
| dc.contributor.author | Špirková, Jana | |
| dc.contributor.author | Beliakov, Gleb | |
| dc.contributor.author | Bustince Sola, Humberto | |
| dc.contributor.author | Fernández Fernández, Francisco Javier | |
| dc.contributor.department | Estatistika, Informatika eta Matematika | eu |
| dc.contributor.department | Institute of Smart Cities - ISC | en |
| dc.contributor.department | Estadística, Informática y Matemáticas | es_ES |
| dc.date.accessioned | 2020-01-13T13:09:23Z | |
| dc.date.available | 2020-04-01T23:00:17Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | We consider mixture functions, which are a type of weighted averages for which the corresponding weights are calculated by means of appropriate continuous functions of their inputs. In general, these mixture function need not be monotone increasing. For this reason we study su cient conditions to ensure standard, weak and directional monotonicity for speci c types of weighting functions. We also analyze directional monotonicity when di erentiability is assumed. | en |
| dc.description.sponsorship | Jana Špirková has been supported by the Slovak Scientific Grant Agency VEGA no. 1/0093/17 Identification of risk factors and their impact on products of the insurance and savings schemes. Humberto Bustince and Javier Fernandez have been supported by Spanish Research Project TIN2016-77356-P (AEI/FEDER, UE). | en |
| dc.embargo.lift | 2020-04-01 | |
| dc.embargo.terms | 2020-04-01 | |
| dc.format.extent | 43 p. | |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.doi | 10.1016/j.ins.2018.12.090 | |
| dc.identifier.issn | 0020-0255 | |
| dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/36055 | |
| dc.language.iso | eng | en |
| dc.publisher | Elsevier | en |
| dc.relation.ispartof | Information Sciences, 481, 2019, 520-549 | en |
| dc.relation.projectID | info:eu-repo/grantAgreement/ES/1PE/TIN2016-77356-P/ | |
| dc.relation.publisherversion | https://doi.org/10.1016/j.ins.2018.12.090 | |
| dc.rights | © 2019 Elsevier Inc. This manuscript version is made available under the CC-BY-NC-ND 4.0. | en |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.subject | Aggregation function | en |
| dc.subject | Mixture function | en |
| dc.subject | Monotonicity | en |
| dc.subject | Weak monotonicity | en |
| dc.subject | Directional monotonicity | en |
| dc.title | Mixture functions and their monotonicity | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.type.version | info:eu-repo/semantics/acceptedVersion | |
| dspace.entity.type | Publication | |
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