Sugeno integral
In mathematics, the Sugeno integral, named after M. Sugeno, is a type of integral with respect to a fuzzy measure.
Let be a measurable space and let be an -measurable function.
The Sugeno integral over the crisp set of the function with respect to the fuzzy measure is defined by:
where.
The Sugeno integral over the fuzzy set of the function with respect to the fuzzy measure is defined by:
where is the membership function of the fuzzy set.
