Abstract:
A new interpretation of Dempster–Shafer conditional notions based directly upon the
mass assignments is provided. The masses of those propositions that may imply the
complement of the conditioning proposition are shown to be completely annulled by
the conditioning operation; conditioning may then be construed as a re-distribution of
the masses of some of these propositions to those that definitely imply the conditioning
proposition. A complete characterization of the propositions whose masses are annulled
without re-distribution, annulled with re-distribution and enhanced by the re-distribution
of masses is provided. A new evidence updating strategy that is composed of a linear
combination of the available evidence and the conditional evidence is also proposed. It
enables one to account for the integrity’ and inertia’ of the available evidence and its
flexibility’ to updating by appropriate selection of the linear combination weights. Several
such strategies, including one that has a probabilistic interpretation, are also provided
Citation:
Kulasekere, E. C., Premaratne, K., Dewasurendra, D. A., Shyu, M.-L., & Bauer, P. H. (2004). Conditioning and updating evidence. International Journal of Approximate Reasoning, 36(1), 75–108. https://doi.org/10.1016/j.ijar.2003.10.001
