A note on the superadditive and the subadditive transformations of aggregation functions
classification
🧮 math.FA
keywords
aggregationtransformationsfunctionsproperstudiedsubadditivesuperadditivebackground
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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.
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