2018/04/09 by Juerg Kohlas, Kohlas, Juerg
Computer Science · Mathematics · #Advanced Algebra and Logic #Bayesian Modeling and Causal Inference #Rough Sets and Fuzzy Logic #cs.IT #cs.LO #math.IT #msc:06B #msc:08A #msc:68R
paper · pdf · doi:10.48550/arxiv.1804.02840
arxiv created 2018/04/09 · arxiv updated 2018/04/10
A new seemingly weak axiomatic formulation of information algebras is given. It is shown how such information algebras can be embedded into set (information) algebras. In set algebras there is a natural relation of conditional independence between partitions. Via the embedding of information algebras this relation carries over to information algebras. The new axiomatic formulation is thereby shown to be equivalent to the one given in arXiv:1701.02658. In this way the abstract concept of conditional independence in information algebras gets a concrete interpretation in terms of set theoretical relations.