Fuzzy inferences and conditional possibility distributions
Fuzzy Sets and Systems
Probabilistic reasoning in intelligent systems: networks of plausible inference
Probabilistic reasoning in intelligent systems: networks of plausible inference
Certainty equivalents for three-point discrete-distribution approximations
Management Science
Fuzzy sets as a basis for a theory of possibility
Fuzzy Sets and Systems
Bayesian Networks and Decision Graphs
Bayesian Networks and Decision Graphs
A Causal Probabilistic Network for Optimal Treatment of Bacterial Infections
IEEE Transactions on Knowledge and Data Engineering
Constrained abductive reasoning with fuzzy parameters in Bayesian networks
Computers and Operations Research
Learning Bayesian Networks
Medical informatics: reasoning methods
Artificial Intelligence in Medicine
Machine learning for medical diagnosis: history, state of the art and perspective
Artificial Intelligence in Medicine
Modeling challenges with influence diagrams: Constructing probability and utility models
Decision Support Systems
Modeling Paradigms for Medical Diagnostic Decision Support: A Survey and Future Directions
Journal of Medical Systems
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Influence diagrams have been widely used as knowledge bases in medical informatics and many applied domains. In conventional influence diagrams, the numerical models of uncertainty are probability distributions associated with chance nodes and value tables for value nodes. However, when incomplete knowledge or linguistic vagueness is involved in the reasoning systems, the suitability of probability distributions is questioned. This study intends to propose an alternative numerical model for influence diagrams, possibility distributions, which extend influence diagrams into fuzzy influence diagrams. In fuzzy influence diagrams, each chance node and value node is associated with a possibility distribution which expresses the uncertain features of the node. This study also develops a simulation algorithm and a fuzzy programming model for diagnosis and optimal decision in medical settings.