We investigate the problem of outer approximating a coherent lower probability with a more tractable model. In particular, in this work we focus on the outer approximations made by belief functions. We show that they can be obtained by solving a linear programming problem. In addition, we consider the subfamily of necessity measures, and show that in that case we can determine all the undominated outer approximations in a simple manner.
Titolo: | Outer Approximations of Coherent Lower Probabilities Using Belief Functions |
Autori: | |
Data di pubblicazione: | 2018 |
Serie: | |
Abstract: | We investigate the problem of outer approximating a coherent lower probability with a more tractable model. In particular, in this work we focus on the outer approximations made by belief functions. We show that they can be obtained by solving a linear programming problem. In addition, we consider the subfamily of necessity measures, and show that in that case we can determine all the undominated outer approximations in a simple manner. |
Handle: | http://hdl.handle.net/11368/2930021 |
ISBN: | 978-3-319-99382-9 978-3-319-99383-6 |
Appare nelle tipologie: | 2.1 Contributo in Volume (Capitolo,Saggio) |
File in questo prodotto:
File | Descrizione | Tipologia | Licenza | |
---|---|---|---|---|
2018_BELIEF-Springer(Outer Approx via belief or possibility functions) officia.pdf | Articolo completo | Documento in Versione Editoriale | Copyright Editore | Administrator Richiedi una copia |
Vicig_postprint_Outer Approximations of Coherent Lower Probabilities.pdf | versione post-print del capitolo | Bozza finale post-referaggio (post-print) | Digital Rights Management non definito | Open Access Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.