Abstract
The goal of this paper is to introduce graphical models in Dempster-Shafer theory of evidence. The way the models are defined is a natural and straightforward generalization of the approach from probability theory. The models possess the same “Global Markov Properties”, which holds for probabilistic graphical models. Nevertheless, the last statement is true only under the assumption that one accepts a new definition of conditional independence in Dempster-Shafer theory, which was introduced in Jiroušek and Vejnarová (2010). Therefore, one can consider this paper as an additional reason supporting this new type of definition.
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Jiroušek, R. (2010). An Attempt to Define Graphical Models in Dempster-Shafer Theory of Evidence. In: Borgelt, C., et al. Combining Soft Computing and Statistical Methods in Data Analysis. Advances in Intelligent and Soft Computing, vol 77. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14746-3_45
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DOI: https://doi.org/10.1007/978-3-642-14746-3_45
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