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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Laboratory for Intelligent Systems University of Economics
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