Resumen: In this paper we study aggregation operators that are point-sensitive which means that their values depend on the point where the functions to be aggregated are defined, as well as on the values of those functions at that point. This analysis gives rise to consider several functional equations that appear in a natural way. Further applications in mathematical social choice also appear as a by-product. In particular, we characterize the representation of certain social choice rules by means of specific numerical functions. Idioma: Inglés DOI: 10.1142/S0218488517500428 Año: 2017 Publicado en: INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS 25, 6 (2017), 973-986 ISSN: 0218-4885 Factor impacto JCR: 1.159 (2017) Categ. JCR: COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE rank: 90 / 132 = 0.682 (2017) - Q3 - T3 Factor impacto SCIMAGO: 0.508 - Artificial Intelligence (Q2) - Software (Q2) - Information Systems (Q2) - Control and Systems Engineering (Q2)