Continuity of super- and sub-additive transformations of continuous functions

Document Type: Research Paper

Authors

Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovakia

10.22111/ijfs.2020.5226

Abstract

We prove a continuity inheritance property for super- and sub-additive transformations of non-negative continuous multivariate functions defined on the domain of all non-negative points and vanishing at the origin. As a corollary of this result we obtain that super- and sub-additive transformations of continuous aggregation functions are again continuous aggregation functions.

Keywords