A set function is a function whose domain is a collection of sets. In many instances in real analysis, a set function is a function which associates an affinely extended real number to each set in a collection of sets.
Set Function
See also
Affinely Extended Real Numbers, Collection, Function, Real Analysis, SetThis entry contributed by Christopher Stover
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References
Royden, H. L. and Fitzpatrick, P. M. Real Analysis. Pearson, 2010.Cite this as:
Stover, Christopher. "Set Function." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/SetFunction.html