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EnglishWe 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 | Publisher-Version | Copyright Editore | Administrator Richiedi una copia |
| Vicig_postprint_Outer Approximations of Coherent Lower Probabilities.pdf | versione post-print del capitolo | Post-print | Digital Rights Management non definito | Embargo: 06/03/2020 Richiedi una copia |
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