Titlebook: Mathematical Models for Handling Partial Knowledge in Artificial Intelligence; Giulianella Coletti,Didier Dubois,Romano Scozzafav Book 199

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A Valuation-Based Architecture for Assumption-Based Reasoningroblem is to compute the quasi-supports, the contradictions and the supports in a symbolic form for one or a few hypotheses. The main advantage of this approach is that symbolic supports are pure arguments in favour or against certain hypotheses and they can be transformed into linguistic explanations.

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Inconsistent Knowledge Integration in a Probabilistic Model this framework the knowledge integration process corresponds to constructing a multidimensional distribution with the given marginals. For this purpose the well known Iterative Proportional Fitting (IPF) procedure can be used.

BLAZE

Conditional and Comparative Probabilities in Artificial Intelligence’, but which arise in a natural way from the real problems being examined. Starting from some known relations comparing events by means of conditional probabilities, a more refined relation is introduced, which is a comparative probability. An application to realization problems is proposed in the final part.

FACT

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Ellsberg Paradox Intuition and Choquet Expected Utility is proposed, under the restrictive assumption of constant marginal utility for wealth. The general model, removing this restriction, is evocated in conclusion. Some economic applications are also quoted.

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https://doi.org/10.1007/978-1-4899-1424-8Arithmetic; Conditional probability; algorithms; architecture; artificial intelligence; function; mathemat

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