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.

Outer Approximations of Coherent Lower Probabilities Using Belief Functions

Paolo Vicig
2018-01-01

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.
2018
978-3-319-99382-9
978-3-319-99383-6
File in questo prodotto:
File Dimensione Formato  
2018_BELIEF-Springer(Outer Approx via belief or possibility functions) officia.pdf

Accesso chiuso

Descrizione: Articolo completo
Tipologia: Documento in Versione Editoriale
Licenza: Copyright Editore
Dimensione 756.31 kB
Formato Adobe PDF
756.31 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
Vicig_postprint_Outer Approximations of Coherent Lower Probabilities.pdf

Open Access dal 07/03/2020

Descrizione: versione post-print del capitolo
Tipologia: Bozza finale post-referaggio (post-print)
Licenza: Digital Rights Management non definito
Dimensione 368.68 kB
Formato Adobe PDF
368.68 kB Adobe PDF Visualizza/Apri
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/2930021
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 1
social impact