Uncertain logical gates in possibilistic networks

International Journal of Approximate Reasoning(2017)

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摘要
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. The elicitation of probability tables by experts is made much easier by means of noisy logical gates that enable multidimensional tables to be constructed from the knowledge of a few parameters. This paper presents the possibilistic counterparts of usual noisy connectives (and, or, max, min, ). Their interest and limitations are illustrated on an example taken from a human geography modeling problem. The difference of behavior between probabilistic and possibilistic connectives is discussed in detail. Results in this paper may be useful to bring possibilistic networks closer to applications. A definition of uncertain logical gates in possibilistic networks and their detailed expressions including the leaky cases.A comparison with noisy gates in probabilistic networks.An illustrative example of using such gates on an application to human geography.
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关键词
Possibility theory,Belief networks,Noisy gates,Expert knowledge,Human geography
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