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| HAL : hal-00458702, version 1 |
| Fiche détaillée |  Récupérer au format |
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| Workshop on the theory of belief functions, France (2010) |
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| The barycenters of the k-additive dominating belief functions & the pignistic k-additive belief functions |
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| Thomas Burger 1Fabio Cuzzolin 2 |
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| (2010) |
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| In this paper, we consider the dominance properties of the set of the pignistic $k$-additive belief functions. Then, given $k$, we conjecture the shape of the polytope of all the $k$-additive belief functions dominating a given belief function, starting from an analogy with the case of dominating probability measures. Under such conjecture, we compute the analytical form of the barycenter of the polytope of $k$-additive dominating belief functions, and we study the location of the pignistic $k$-additive belief functions with respect to this polytope and its barycenter. |
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| 1 : | Laboratoire des sciences et techniques de l'information, de la communication et de la connaissance (Lab-STICC) |
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CNRS : UMR3192 – Université de Bretagne Occidentale - Brest – Université de Bretagne Sud – Institut Télécom – Télécom Bretagne – Université européenne de Bretagne – Institut Supérieur des Sciences et Technologies de Brest (ISSTB) |
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| 2 : | Oxford Brookes University |
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Oxford Brookes University |
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| hal-00458702, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00458702 | |
| oai:hal.archives-ouvertes.fr:hal-00458702 | |
| Contributeur : Thomas Burger | |
| Soumis le : Lundi 22 Février 2010, 10:44:04 | |
| Dernière modification le : Lundi 22 Février 2010, 10:44:04 | |
