Pointwise aggregation of maps: its structural functional equation and some applications to social choice theory
| dc.contributor.author | Miguel Turullols, Laura de | |
| dc.contributor.author | Campión Arrastia, María Jesús | |
| dc.contributor.author | Candeal, Juan Carlos | |
| dc.contributor.author | Induráin Eraso, Esteban | |
| dc.contributor.author | Paternain Dallo, Daniel | |
| dc.contributor.department | Automática y Computación | es_ES |
| dc.contributor.department | Matemáticas | es_ES |
| dc.contributor.department | Automatika eta Konputazioa | eu |
| dc.contributor.department | Matematika | eu |
| dc.contributor.funder | Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa | es |
| dc.date.accessioned | 2017-09-01T09:06:02Z | |
| dc.date.available | 2019-10-15T23:00:13Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | We study a structural functional equation that is directly related to the pointwise aggregation of a finite number of maps from a given nonempty set into another. First we establish links between pointwise aggregation and invariance properties. Then, paying attention to the particular case of aggregation operators of a finite number of real-valued functions, we characterize several special kinds of aggregation operators as strictly monotone modifications of projections. As a case study, we introduce a first approach of type-2fuzzy sets via fusion operators. We develop some applications and possible uses related to the analysis of properties of social evaluation functionals in social choice, showing that those functionals can actually be described by using methods that derive from this setting. | en |
| dc.description.sponsorship | This work has been supported by the research projects ECO2012-34828, MTM2012-37894-C02-02, MTM2015-63608-P, TIN2013-47605-P, TIN2011-29520 (Spain) and the Research Services of the Public University of Navarre. | en |
| dc.embargo.lift | 2019-10-15 | |
| dc.embargo.terms | 2019-10-15 | |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.doi | 10.1016/j.fss.2016.05.010 | |
| dc.identifier.issn | 0165-0114 | |
| dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/25495 | |
| dc.language.iso | eng | en |
| dc.publisher | Elsevier | en |
| dc.relation.ispartof | Fuzzy Sets and Systems 325 (2017) 137–151 | en |
| dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//ECO2012-34828/ES/ | |
| dc.relation.projectID | info:eu-repo/grantAgreement/ES/6PN/MTM2012-37894/ | |
| dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2015-63608-P/ES/ | |
| dc.relation.projectID | info:eu-repo/grantAgreement/ES/1PE/TIN2013-47605/ | |
| dc.relation.projectID | info:eu-repo/grantAgreement/MICINN//TIN2011-29520/ES/ | |
| dc.relation.publisherversion | https://dx.doi.org/10.1016/j.fss.2016.05.010 | |
| dc.rights | © 2016 Elsevier B.V. The manuscript version is made available under the CC BY-NC-ND 4.0 license | en |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.subject | Aggregation operators | en |
| dc.subject | Functional equations | en |
| dc.subject | Pointwise aggregation | en |
| dc.subject | Real-valued functions | en |
| dc.subject | Type-2fuzzy sets | en |
| dc.subject | Applications to social choice | en |
| dc.title | Pointwise aggregation of maps: its structural functional equation and some applications to social choice theory | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.type.version | info:eu-repo/semantics/acceptedVersion | |
| dspace.entity.type | Publication | |
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