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Choquet-Inspired Aggregation Functions

Authors: Humberto Bustince; Radko Mesiar; Graçaliz Pereira Dimuro; Javier Fernández 0002; Julio Lafuente; Bernard De Baets;

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.

Countries
Spain, Belgium
Keywords

Mathematics and Statistics, INTEGRALS, Fuzzy integral, Choquet-inspired aggregation function, Aggregation function

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green
hybrid