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Resumen: A 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.
Idioma: Inglés
DOI: 10.3390/axioms7010017
Año: 2018
Publicado en: Axioms 7, 1 (2018), 17 [8 pp]
ISSN: 2075-1680
Factor impacto SCIMAGO: 0.23 - Algebra and Number Theory (Q3) - Analysis (Q3) - Mathematical Physics (Q3) - Logic (Q3) - Geometry and Topology (Q3)

Financiación: info:eu-repo/grantAgreement/ES/MINECO/ECO2012-34828
Tipo y forma: Article (Published version)
Área (Departamento): Área Fund. Análisis Económico (Dpto. Análisis Económico)

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