Classification when a priori evidence is ambiguous

Ronald Mahler · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1994

This paper describes conditioned Dempster-Shafer (CDS) theory, a probabilistic calculus for dealing with possibly non-Bayesian evidence when underlying a priori knowledge is possibly non-Bayesian. The Dempster-Shafer composition operator can be `conditioned' to reflect the influence of any kind of a priori knowledge which can be modeled as a Dempster-Shafer belief measure. CDS is firmly grounded in probability theory via the theory of random sets. It is also a generalization of the Bayesian theory of evidence to the case when both evidence and a priori knowledge are ambiguous.

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