A note on de Finetti's lower probabilities and belief measures
De Finetti has introduced lower and upper probabilities as boundary set functions when extending a fixed probability from an atomic algebra to an atomic superalgebra. We discuss the relationship of de Finetti’s lower and upper probabilities with belief and plausibility measures, and also investigat...
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Formato: | article |
Lenguaje: | EN FR IT |
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Sapienza Università Editrice
2008
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Acceso en línea: | https://doaj.org/article/f617e7e69727423db900163a7d648197 |
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Sumario: | De Finetti has introduced lower and upper probabilities as boundary
set functions when extending a fixed probability from an atomic algebra to an atomic superalgebra. We discuss the relationship of de Finetti’s lower and upper probabilities with belief and plausibility measures, and also investigate the order of their additivity. Finally, two open problems are formulated. |
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