In this contribution we modify the denitions of the super-additiveand sub-additive transformations of aggregation functions. Firstly we dene k-bounded transformations that represent only nite decompositions with at most k elements. Secondly, we introduce two other transformations that preserve the super-additivity property in some sense. Also, a remark on continuity of the classical super-additive transformation of an aggregation function is presented forone-dimensional case.
@article{606,
title = {Remarks on super-additive and sub-additive transformations of aggregation functions},
journal = {Tatra Mountains Mathematical Publications},
volume = {72},
year = {2019},
doi = {10.2478/tmmp-2018-0021},
language = {EN},
url = {http://dml.mathdoc.fr/item/606}
}
Hriňáková, Katarína; Šeliga, Adam. Remarks on super-additive and sub-additive transformations of aggregation functions. Tatra Mountains Mathematical Publications, Tome 72 (2019) . doi : 10.2478/tmmp-2018-0021. http://gdmltest.u-ga.fr/item/606/