%0 Journal Article
%A Mesiar, Radko
%A Kolesárová, Anna
%A Gómez González, Daniel
%A Montero De Juan, Francisco Javier
%T Set-based extended aggregation functions
%D 2019
%U https://hdl.handle.net/20.500.14352/110677
%X 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.
%~