148540 20250120165541.0 doi 10.1016/j.fss.2016.05.010 sideral 101589 ART-2017-101589 eng De Miguel, L. Pointwise aggregation of maps: Its structural functional equation and some applications to social choice theory 2017 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-2 fuzzy 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. Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/AEI-MINECO-FEDER/MTM2015-63608-P info:eu-repo/grantAgreement/ES/MINECO/ECO2012-34828 info:eu-repo/grantAgreement/ES/MINECO/MTM2012-37894-C02-02 info:eu-repo/grantAgreement/ES/MINECO/TIN2011-29520 info:eu-repo/grantAgreement/ES/MINECO/TIN2013-47605-P info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 2.675 2017 COMPUTER SCIENCE, THEORY & METHODS 18 / 103 = 0.175 2017 Q1 T1 STATISTICS & PROBABILITY 8 / 123 = 0.065 2017 Q1 T1 MATHEMATICS, APPLIED 12 / 252 = 0.048 2017 Q1 T1 1.138 2017 Logic 2017 Q1 Artificial Intelligence 2017 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Campión, M.J. Candeal, J.C. Universidad de Zaragoza (orcid)0000-0002-3841-8774 Induráin, E. Paternain, D. 4000 415 Universidad de Zaragoza Dpto. Análisis Económico Área Fund. Análisis Económico 325 (2017), 137-151 Fuzzy sets syst. Fuzzy Sets and Systems 0165-0114 468361 http://zaguan.unizar.es/record/148540/files/texto_completo.pdf Postprint 1625629 http://zaguan.unizar.es/record/148540/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:148540 articulos driver 2025-01-20-14:52:40 ARTICLE