Possibilistic Influence Diagrams Using Information Fusion

Wided Guezguez, Nahla Ben Amor.

This paper proposes a new approach for decision making under uncertainty based on influence diagrams and possibility theory. The so-called possibilistic influence diagrams extend standard influence diagrams in order to avoid difficulties attached to the specification of both probability distributions relative to chance nodes and utilities relative to value nodes. In fact, generally, it is easier for experts to quantify dependencies between chance nodes via possibility distributions and to provide a set of numerical utilities and a possibility distribution relative to each consequence and each utility.

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