The behavior of the Sugeno and Choquet integral depends on the values and
properties of the associated fuzzy measure. The fuzzy measure used to define the
Choquet integral can be interpreted as a weight allocation, not merely to individual
inputs but rather to each subset of inputs. It may be that there are redundancies
among the inputs, or that certain inputs complement each other.
Definition 22.8 (Choquet integral). The discrete Choquet integral with respect to
a fuzzy measure v is given by