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ISIPTA'09 -
SIXTH INTERNATIONAL SYMPOSIUM ON

IMPRECISE PROBABILITY: THEORIES AND APPLICATIONS

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Durham University, Department of Mathematical Sciences

Durham, United Kingdom

Tuesday 14 to Saturday 18 July 2009

## ELECTRONIC PROCEEDINGS

## Alessio Benavoli, Alessandro Antonucci

# Aggregating Imprecise Probabilistic Knowledge

### Abstract

The problem of aggregating two or more sources of information containing knowledge about a same domain is considered. We propose an aggregation rule for the case where the available information is modeled by coherent lower previsions, corresponding to convex sets of probability mass functions. The consistency between aggregated beliefs and sources of information is discussed. A closed formula, which specializes our rule to a particular class of models, is also derived. Finally, an alternative explanation of Zadeh's paradox is provided.

** Keywords. ** Information fusion, coherent lower previsions, independent natural extension, generalized Bayes rule

** Paper Download **

The paper is availabe in the following formats:

**Plenary talk **:
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**Poster **:
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** Authors addresses: **

**Alessio Benavoli**

Galleria 2

6928 Manno

**Alessandro Antonucci**

c/o IDSIA

Galleria 2

CH-6928 Manno (Lugano)

** E-mail addresses: **

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