FIRST INTERNATIONAL SYMPOSIUM ON
IMPRECISE PROBABILITIES AND THEIR APPLICATIONS

Ghent, Belgium
30 June - 2 July 1999

ELECTRONIC PROCEEDINGS

Jiĝina Vejnarová

Conditional Independence Relations in Possibility Theory

Abstract

The aim of this paper is to survey and briefly discuss various rules conditioning proposed in the framework of possibility theory as well as various conditional independence relations suggested for these rules. These conditioning rules and conditional independence relations are confronted with formal properties of conditional independence. Special attention is payed to the conditioning rule based on measure-theoretical approach. It is argued that this way of conditioning and the related conditional independence notion not only generalize some of presented rules and conditional independence relations, but also their properties correspond to those possessed by stochastic conditional independence.

Keywords. Possibility measure, possibility distribution, conditioning rule, natural extension, conditional possibility distribution, possibilistic conditional independence, formal properties of conditional independence.

The paper is available in the following formats and sites:

Authors addresses:

Laboratory of Intelligent Systems
University of Economics
Ekonomická 957
148 01 Prague
Czech Republic

E-mail addresses:

Jiĝina Vejnarová vejnar@vse.cz

Related Web Sites

Jiĝina Vejnarová


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