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"I mentioned that I had heard about the Dempster-Shafer "belief model."
No one seemed to know about it, so I'll go read about it this week and
hopefully we can discuss w/Brian next week. It seems to be a
math framework for dealing with partial information."
I looked at this quite a few years ago, and found it seriously lacking.
I suggest sticking with more standard probability theory (of the Bayesian
flavor, where probabilities can represent ``degrees of belief'').