Choquet-inspired aggregation functions

Abstract

In this work, we propose a new family of aggregation functions inspired by the well-known Choquet integral. To build these functions, we replace the measure in the definition of the Choquet integral by an appropriate function. We study the properties of these aggregation functions and explore the relations with some other common aggregation functions such as order statistics and overlap and grouping functions.H. Bustince, J. Fernandez and G.P. Dimuro are partially supported by research project PID2022-136627NB-I00, Spain ( MCIN/AEI/10.13039/501100011033/ FEDER, UE ). G.P. Dimuro also thanks FAPERGS (Proc. 23/2551-0000126-8 ) and CNPq (Proc. 304118/2023-0 , 407206/2023-0 ). R. Mesiar is supported by Project VEGA 1/0036/23