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After it has been successfully done in probability and possibility theories, the paper is the first attempt to introduce the operator of composition also for belief functions. 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… (More)
The goal of this paper is to introduce a new concept of conditional independence in evidence theory, to prove its formal properties, and to show in what sense it is superior to the concept introduced previously by other authors.
Markov properties and factorization are powerful tools allowing the expression of multidimensional probability distributions by means of low-dimensional ones. As multidimensional possibilistic models have been studied for several years, the demand for analogous tools in possibility theory seems quite natural. This paper is intended to be a promotion of De… (More)
The goal of the paper is to reveal the relationships between recently introduced concept of conditional independence in evidence theory and those (dependent on the choice of conditioning rule) of conditional irrelevance .