000070049 001__ 70049 000070049 005__ 20200117221626.0 000070049 0247_ $$2doi$$a10.3390/axioms7010017 000070049 0248_ $$2sideral$$a105444 000070049 037__ $$aART-2018-105444 000070049 041__ $$aeng 000070049 100__ $$0(orcid)0000-0002-3841-8774$$aCandeal, J.C.$$uUniversidad de Zaragoza 000070049 245__ $$aAn abstract result on projective aggregation functions 000070049 260__ $$c2018 000070049 5060_ $$aAccess copy available to the general public$$fUnrestricted 000070049 5203_ $$aA general characterization result of projective aggregation functions is shown, the proof of which makes use of the celebrated Arrow''s theorem, thus providing a link between aggregation functions theory and social choice theory. The result can be viewed as a generalization of a theorem obtained by Kim (1990) for real-valued aggregation functions defined on the n-dimensional Euclidean space in the context of measurement theory. In addition, two applications of the core theorem of the article are shown. The first is a simple extension of the main result to the context of multi-valued aggregation functions. The second offers a new characterization of projective bijection aggregators, thus connecting aggregation operators theory with social choice. 000070049 536__ $$9info:eu-repo/grantAgreement/ES/MINECO/ECO2012-34828 000070049 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000070049 592__ $$a0.23$$b2018 000070049 593__ $$aAlgebra and Number Theory$$c2018$$dQ3 000070049 593__ $$aAnalysis$$c2018$$dQ3 000070049 593__ $$aMathematical Physics$$c2018$$dQ3 000070049 593__ $$aLogic$$c2018$$dQ3 000070049 593__ $$aGeometry and Topology$$c2018$$dQ3 000070049 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000070049 7102_ $$14000$$2415$$aUniversidad de Zaragoza$$bDpto. Análisis Económico$$cÁrea Fund. Análisis Económico 000070049 773__ $$g7, 1 (2018), 17 [8 pp]$$pAxioms$$tAxioms$$x2075-1680 000070049 8564_ $$s241322$$uhttps://zaguan.unizar.es/record/70049/files/texto_completo.pdf$$yVersión publicada 000070049 8564_ $$s105090$$uhttps://zaguan.unizar.es/record/70049/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000070049 909CO $$ooai:zaguan.unizar.es:70049$$particulos$$pdriver 000070049 951__ $$a2020-01-17-21:57:29 000070049 980__ $$aARTICLE