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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

## Frédéric Pichon, Thierry Denoeux

# Interpretation and Computation of Alpha-Junctions for Combining Belief Functions

### Abstract

The alpha-junctions are the associative, commutative and linear operators for belief functions with a neutral element. This family of rules includes as particular cases the unnormalized Dempster's rule and the disjunctive rule. Until now, the alpha-junctions suffered from two main limitations. First, they did not have an interpretation in the general case. Second, it was difficult to compute a combination by an alpha-junction. In this paper, an interpretation for these rules is proposed. It is shown that the alpha-junctions correspond to a particular form of knowledge about the truthfulness of the sources providing the belief functions to be combined. Simple means to compute a combination by an alpha-junction are also laid bare. These means are based on generalizations of mechanisms that exist to compute the combination by the unnormalized Dempster's rule.

** Keywords. ** Transferable Belief Model, Dempster-Shafer Theory, Belief Functions, Information Fusion, Uncertain reasoning.

** Paper Download **

The paper is availabe in the following formats:

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

**Frédéric Pichon**

Thales Research & Technology

Campus Polytechnique

1 avenue Augustin Fresnel

91767 Palaiseau cedex France

**Thierry Denoeux**

U.M.R. C.N.R.S. 6599 Heudiasyc,

Centre de Recherches de Royallieu

B.P. 20529

F-60205 Compiègne Cedex

France

** E-mail addresses: **

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