Sugeno Integral with Possibilistic Inputs with Application to Multi-Criteria Decision Making.

We introduce the Sugeno integral and describe how it can be used to provide a weighted mean-like aggregation of a collection of values drawn from the unit interval. We explain that the underlying measure provides information about the weights associated with the arguments. We provide an alternative view of the Sugeno integral that enables us to extend its use to situations in which the arguments in the aggregation are possibility distributions. We look at the application of the Sugeno integral to the formulation of decision functions in the case of multi-criteria decision making. We focus on the situation where there exists some possibilistic uncertainty in our knowledge of criteria satisfactions by an alternative. We provide operational formulations for the calculation of some notable decision functions in the case of possibilistically uncertain criteria satisfactions.