Decision Support Systems. Rule based Systems. if A then B If pump failure then the pressure is low If pump failure then check oil level If power failure then pump failure Uncertainty If A (with certainty x) then B (with certainty f(x))
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if A then B
If A (with certainty x) then B (with certainty f(x))
If C (with certainty x) then B (with certainty g(x)
If we now get the information that A holds with certainty a and C holds with certainty c, what is the certainty of B?
P(A | B)P(B) = P(B | A)P(A)
The fundamental difference between the two types of networks is that a perceptrone in the hidden layers does not in itself have an interpretation in the domain of the system, whereas all the nodes of a Bayesian network represent concepts that are well defined with respect to the domain.