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| HAL : hal-00382732, version 1 |
| Fiche détaillée |  Récupérer au format |
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| 10th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty, Italie (2009) |
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| A Generalization of the Pignistic Transform for Partial Bet |
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Thomas Burger 1Alice Caplier 2 |
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| (2009) |
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| The Transferable Belief Model is a powerful interpretation of belief function theory where decision making is based on the pignistic transform. Smets has proposed a generalization of the pignistic transform which appears to be equivalent to the Shapley value in the transferable utility model. It corresponds to the situation where the decision maker bets on several hypotheses by associating a subjective probability to non-singleton subsets of hypotheses. Naturally, the larger the set of hypotheses is, the higher the Shapley value is. As a consequence, it is impossible to make a decision based on the comparison of two sets of hypotheses of different size, because the larger set would be promoted. This behaviour is natural in a game theory approach of decision making, but, in the TBM framework, it could be useful to model other kinds of decision processes. Hence, in this article, we propose another generalization of the pignistic transform where the belief in too large focal elements is normalized in a different manner prior to its redistribution. |
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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 : | Grenoble Images Parole Signal Automatique (GIPSA-lab) |
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CNRS : UMR5216 – Université Joseph Fourier - Grenoble I – Université Pierre Mendès-France - Grenoble II – Université Stendhal - Grenoble III – Institut Polytechnique de Grenoble - Grenoble Institute of Technology |
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| GPIG |
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| Domaine | : | Informatique/Informatique et théorie des jeux Mathématiques/Probabilités Sciences de l'ingénieur/Traitement du signal et de l'image Informatique/Traitement du signal et de l'image |
| hal-00382732, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00382732 | |
| oai:hal.archives-ouvertes.fr:hal-00382732 | |
| Contributeur : Thomas Burger | |
| Soumis le : Lundi 11 Mai 2009, 11:03:26 | |
| Dernière modification le : Mardi 26 Mai 2009, 10:35:41 | |
