Modal logic interpretations of plausibility and belief measures are developed based on the observation that the inverse of the value assignment function in a model of modal logic induces the upper plausibility and lower belief measures of the plausibility and belief measures induced by the accessibility relation, regarded as a multivalued mapping.
Keywords. Accessibility relation, basic probability assignment, belief measure, modal logic, multivalued mapping, plausibility measure, value assignment function.
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Bernard De Baets
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