On the existence of aggregation functions with given super-additive and sub-additive transformations

Alexandra Šipošová, Ladislav Šipeky, Jozef Širáň

In this note we study restrictions on the recently introduced super-additive and sub-additive transformations, $A\mapsto A^{\ast }$ and $A\mapsto A_{\ast }$, of an aggregation function $A$. We…