Characterizes monotone separating set functions with dimension bounds, proves non-existence on infinite domains, and introduces a Holder-stable neural model with a weak version of the property for universal monotone approximation.
Monotone set functions and their generalizations.Fuzzy Sets and Systems, 393:1–19
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Monotone and Separable Set Functions: Characterizations and Neural Models
Characterizes monotone separating set functions with dimension bounds, proves non-existence on infinite domains, and introduces a Holder-stable neural model with a weak version of the property for universal monotone approximation.