Jirina Vejnarova

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Operator of composition for credal sets

Abstract

This paper is the first attempt to introduce the operator of composition, already known from probability, possibility and evidence theories, also for credal sets. We prove that the proposed definition preserves all the necessary properties of the operator enabling us to define compositional models as an efficient tool for multidimensional models representation. Theoretical results are accompanied by numerous illustrative examples.

Keywords

credal sets, graphical models, conditional independence

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E-mail addresses

Jirina Vejnarova

vejnar@utia.cas.cz