The aim of this paper is to introduce some classes of aggregation functionals when the evaluation scale is a complete lattice. We focus on the notion of quantile of a lattice-valued function which have several properties of its real-valued counterpart and we study a class of aggregation functionals that generalizes Sugeno integrals to the setting of complete lattices. Then we introduce in the real-valued case some classes of aggregation functionals that extend Choquet and Sugeno integrals by considering a multiple quantile model.
|Titolo:||A Quantile Approach to Integration with Respect to Non-additive Measures|
|Data di pubblicazione:||2012|
|Appare nelle tipologie:||3.1 Articolo su libro|