SECOND INTERNATIONAL SYMPOSIUM ON
IMPRECISE PROBABILITIES AND THEIR APPLICATIONS
Cornell University
Ithaca, NY, USA
26 - 29 June 2001

ELECTRONIC PROCEEDINGS

Jirina Vejnarova

A partial solution of the possibilistic marginal problem

Abstract

A possibilistic marginal problem will be introduced in a way analogous to probabilistic framework, to address the question of whether or not a common extension exists for a given set of marginal distributions. Similarities and differences between possibilistic and probabilistic marginal problems will be demonstrated, concerning necessary and sufficient conditions and sets of all solutions. Finally, the operators of composition will be introduced and we will show how to use them for finding T-product extension.

Keywords. Marginal problem, possibility distributions, triangular norm, conditioning, conditional independence, extension.

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Authors addresses:

Laboratory for Intelligent Systems University of Economics
Ekonomicka 957
148 01 Praha 4
Czech Republic

E-mail addresses:

Jirina Vejnarova vejnar@vse.cz


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