# Continuous-Output Set Function

(Redirected from Set Measure Function)

A Continuous-Output Set Function is a set input-function that is a continuous-output function.

**AKA:**Set Measure; [math]f:2^V \rightarrow \Re[/math].**Context:**- It can range from being, based on the input size, a Unary Continuous-Output Set Function, Binary Continuous-Output Set Function, an N-ary Continuous-Output Set Function.
- It can range from being a Strictly Positive Continuous-Output Set Function to being a Non-Positive Continuous-Output Set Function to being a Non-Negaive Continuous-Output Set Function, to being a Strictly-Negative Continuous-Output Set Function.
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**Example(s):**- a Recall Function.
- an F1 Measure.
- a Unary Set Function, such as the Set Cardinality Function.
- the Event Probability Function.
- a Set Relation, such as the Subset Relation.
- a Transformation Function.
- a Modular Function, Submodular Function, Supermodular Function.
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**Counter-Example(s):****See:**Set, Measure Space, Normalized Set Function.