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.
A Quantile Approach to Integration with Respect to Non-additive Measures
CARDIN, Marta
2012-01-01
Abstract
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.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
76470139.pdf
accesso aperto
Tipologia:
Documento in Post-print
Licenza:
Accesso libero (no vincoli)
Dimensione
222.97 kB
Formato
Adobe PDF
|
222.97 kB | Adobe PDF | Visualizza/Apri |
I documenti in ARCA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
