In mathematics, the Sugeno integral, named after M. Sugeno,[1] is a type of integral with respect to a fuzzy measure.
be a measurable space and let
The Sugeno integral over the crisp set
with respect to the fuzzy measure
is defined by: where
α
The Sugeno integral over the fuzzy set
with respect to the fuzzy measure
is the membership function of the fuzzy set
Sugeno integral is related to h-index.