Analysis of Four Uncertainry Calculi

Prior Information

(1) Prior probability of each hypothesis;

(1) Conditional probability of each set of hypotheses given each individual observation

(1) Compatibility of observations with antecedent concepts

(1) If-Then rules with certainty factors relating observations to hypotheses

(2) Likelihood of each possible set of observations given each hypothesis

(2) Compatibility of hypotheses with consequent concepts

(2) (usually) If-Then Rules with certainty factors relating hypotheses to other hypotheses

(3) If-Then rules relating ante- cedent consepts to consequent concepts

User- provided information

Which observations are present

Which observations are present

How possible each observation is

How certain each observationn is

Output

(1) Posterior probability of each hypothesis

(1) Probability of each set of hypotheses

(1) Possibility of each hypothesis

(1) Certainty of each hypothesis

(2) Belief and Plausibility of each hypothesis