Mesiar, RadkoKolesárová, AnnaGómez González, DanielMontero De Juan, Francisco Javier2024-11-182024-11-182019-07https://doi.org/10.1002/int.22128https://hdl.handle.net/20.500.14352/110677Inspired by the Zadeh approach to fuzzy connectives in fuzzy set theory and by some applications, we introduce and study set-based extended functions, and in particular, set-based extended aggregation functions. These functions reflect neither reordering nor repetition of input values, and, linking different arities, they introduce serious constraints for extended functions. A complete characterization of set-based extended (aggregation) functions is given, and some constructions of such functions are also proposed, including several examples.engAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/journal articlehttps://onlinelibrary.wiley.com/doi/10.1002/int.22128restricted access510.3519.816519.226Teoría de conjuntosAgregaciónConjuntos difusosInvestigación operativa (Estadística)1299 Otras Especialidades Matemáticas