2015•arXiv (Cornell University)Open access
A note on the superadditive and the subadditive transformations of aggregation functions
Alexandra Šipošová
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Abstract
We expand the theoretical background of the recently introduced superadditive and subadditive transformations of aggregation functions $A$. Necessary and sufficient conditions ensuring that a transformation of a proper aggregation function is again proper are deeply studied and exemplified. Relationships between these transformations are also studied.