doi:10.3390/axioms7010017engCandeal, J.C.An abstract result on projective aggregation functionsART-2018-105444A 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.2018http://zaguan.unizar.es/record/7004910.3390/axioms7010017http://zaguan.unizar.es/record/70049oai:zaguan.unizar.es:70049info:eu-repo/grantAgreement/ES/MINECO/ECO2012-34828Axioms 7, 1 (2018), 17 [8 pp]byhttp://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccess