Abstract
Possibilistic networks offer a qualitative approach for modeling epistemic uncertainty. Their practical implementation requires the specification of conditional possibility tables, as in the case of Bayesian networks for probabilities. This paper presents the possibilistic counterparts of the noisy probabilistic connectives (and, or, max, min, ...). Their interest is illustrated on an example taken from a human geography modeling problem. The difference of behaviors in some cases of some possibilistic connectives, with respect to their probabilistic analogs, is discussed in details.
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Notes
- 1.
The idea of possibilistic uncertain gates was first considered empirically by [13] directly in the setting of possibilistic logic, at a time where possibilistic networks had not yet been introduced. It seems that the question of possibilistic uncertain gates has not been reconsidered ever since, if we except a recent study in the broader setting of imprecise probabilities [1] and a preliminary outline in French by the authors [4].
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This work has been partially funded by CNRS PEPS Project Geo-Incertitude.
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Dubois, D., Fusco, G., Prade, H., Tettamanzi, A. (2015). Uncertain Logical Gates in Possibilistic Networks. An Application to Human Geography. In: Beierle, C., Dekhtyar, A. (eds) Scalable Uncertainty Management. SUM 2015. Lecture Notes in Computer Science(), vol 9310. Springer, Cham. https://doi.org/10.1007/978-3-319-23540-0_17
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