In this paper, we present an approach to data aggregation based on a generalization of the discrete Choquet integral by means of fusion functions. Inspired by \cite{MKB}, we merge information contained in capacities $m$ of criteria sets and values of score vectors by a fusion function $F$ instead of the product operator. We give the conditions under which fusion functions $F$ yield well-defined functionals $C_F^m$ and we also discuss properties of these functionals. Some examples for particular capacities $m$ and particular fusion functions $F$ are given.
@article{434,
title = {Integration based on fusion functions},
journal = {Tatra Mountains Mathematical Publications},
volume = {65},
year = {2016},
doi = {10.2478/tatra.v66i0.434},
language = {EN},
url = {http://dml.mathdoc.fr/item/434}
}
Horanská, Ľubomíra; Šipošová, Alexandra. Integration based on fusion functions. Tatra Mountains Mathematical Publications, Tome 65 (2016) . doi : 10.2478/tatra.v66i0.434. http://gdmltest.u-ga.fr/item/434/