Fusion, propagation, and structuring in belief networks
Artificial Intelligence
Bayesian and non-Bayesian evidential updating
Artificial Intelligence
Introduction to artificial intelligence
Introduction to artificial intelligence
A Statistical Viewpoint on the Theory of Evidence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Probabilistic reasoning in intelligent systems: networks of plausible inference
Probabilistic reasoning in intelligent systems: networks of plausible inference
GERTIS: a Dempster-Shafer approach to diagnosing hierarchical hypotheses
Communications of the ACM
A valuation-based language for expert systems
International Journal of Approximate Reasoning
Mathematics of Kalman-Bucy Filtering
Mathematics of Kalman-Bucy Filtering
Probabilistic reasoning in expert systems: theory and algorithms
Probabilistic reasoning in expert systems: theory and algorithms
Reasoning with belief functions: an analysis of compatibility
International Journal of Approximate Reasoning
Rejoinder to comments on “reasoning with belief functions: an analysis of compatibility”
International Journal of Approximate Reasoning - Special issue: The belief functions revisited: questions and answers
The Elements of Artificial Intelligence Using Common LISP
The Elements of Artificial Intelligence Using Common LISP
A method for managing evidential reasoning in a hierarchical hypothesis space
A method for managing evidential reasoning in a hierarchical hypothesis space
Plausible Reasoning and the Theory of Evidence
Plausible Reasoning and the Theory of Evidence
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There are many different methods for incorporating notions of uncertainty in evidential reasoning. A common component to these methods is the use of additional values, other than conditional probabilities, to assert current degrees of belief and certainties in propositions. Beginning with the viewpoint that these values can be associated with statistics of multiple opinions in an evidential reasoning system, we categorize the choices that are available in updating and tracking these multiple opinions. In this way, we develop a matrix of different uncertainty calculi, some of which are standard, and others are new. The main contribution is to formalize a framework under which different methods for reasoning with uncertainty can be evaluated. As examples, we see that both the “Kalman filtering” approach and the “Dempster–Shafer” approach to reasoning with uncertainty can be interpreted within this framework of representing uncertainty by the statistics of multiple opinions.