RT Journal Article T1 Set-based extended aggregation functions A1 Mesiar, Radko A1 Kolesárová, Anna A1 Gómez González, Daniel A1 Montero De Juan, Francisco Javier AB Inspired 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. PB Willey YR 2019 FD 2019-07 LK https://hdl.handle.net/20.500.14352/110677 UL https://hdl.handle.net/20.500.14352/110677 LA eng DS Docta Complutense RD 4 abr 2025