We characterize (in terms of necessary and sufficient conditions) binary relations representable by a lower probability. Such relations can be non-additive (as the relations representable by a probability) and also not "partially monotone" (as the relations representable by a belief function). Moreover we characterize relations representable by upper probabilities and those representable by plausibility. In fact the conditions characterizing these relations are not immedi~tely deducible by means of "dual" conditions given on the contrary events, like in the numerical case.

Non Additive Ordinal Relations Representable by Lower and Upper Probabilities / Capotorti, A.; Coletti, G.; Vantaggi, Barbara. - In: KYBERNETIKA. - ISSN 0023-5954. - STAMPA. - 34(1):(1998), pp. 79-90.

Non Additive Ordinal Relations Representable by Lower and Upper Probabilities

VANTAGGI, Barbara
1998

Abstract

We characterize (in terms of necessary and sufficient conditions) binary relations representable by a lower probability. Such relations can be non-additive (as the relations representable by a probability) and also not "partially monotone" (as the relations representable by a belief function). Moreover we characterize relations representable by upper probabilities and those representable by plausibility. In fact the conditions characterizing these relations are not immedi~tely deducible by means of "dual" conditions given on the contrary events, like in the numerical case.
1998
Comparative probability; Ordinal relations reprsentable by non-additive measures; comparative plausibility
01 Pubblicazione su rivista::01a Articolo in rivista
Non Additive Ordinal Relations Representable by Lower and Upper Probabilities / Capotorti, A.; Coletti, G.; Vantaggi, Barbara. - In: KYBERNETIKA. - ISSN 0023-5954. - STAMPA. - 34(1):(1998), pp. 79-90.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/100227
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