Remarks on super-additive and sub-additive transformations of aggregation functions

Abstract

In this contribution we modify the denitions of the super-additive
and 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 for
one-dimensional case.