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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Autor principal:	Radko Mesiar
Formato:	article
Lenguaje:	EN FR IT
Publicado:	Sapienza Università Editrice 2008
Materias:	belief measure k-additivity lower probability plausibility measure upper probability Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/f617e7e69727423db900163a7d648197
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spelling	oai:doaj.org-article:f617e7e69727423db900163a7d6481972021-11-29T17:20:21ZA note on de Finetti's lower probabilities and belief measures1120-71832532-3350https://doaj.org/article/f617e7e69727423db900163a7d6481972008-01-01T00:00:00Zhttps://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2008(3-4)/229-235.pdfhttps://doaj.org/toc/1120-7183https://doaj.org/toc/2532-3350De 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.Radko MesiarSapienza Università Editricearticlebelief measurek-additivitylower probabilityplausibility measureupper probabilityMathematicsQA1-939ENFRITRendiconti di Matematica e delle Sue Applicazioni, Vol 28, Iss 3-4, Pp 229-235 (2008)
institution	DOAJ
collection	DOAJ
language	EN FR IT
topic	belief measure k-additivity lower probability plausibility measure upper probability Mathematics QA1-939
spellingShingle	belief measure k-additivity lower probability plausibility measure upper probability Mathematics QA1-939 Radko Mesiar A note on de Finetti's lower probabilities and belief measures
description	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.
format	article
author	Radko Mesiar
author_facet	Radko Mesiar
author_sort	Radko Mesiar
title	A note on de Finetti's lower probabilities and belief measures
title_short	A note on de Finetti's lower probabilities and belief measures
title_full	A note on de Finetti's lower probabilities and belief measures
title_fullStr	A note on de Finetti's lower probabilities and belief measures
title_full_unstemmed	A note on de Finetti's lower probabilities and belief measures
title_sort	note on de finetti's lower probabilities and belief measures
publisher	Sapienza Università Editrice
publishDate	2008
url	https://doaj.org/article/f617e7e69727423db900163a7d648197
work_keys_str_mv	AT radkomesiar anoteondefinettislowerprobabilitiesandbeliefmeasures AT radkomesiar noteondefinettislowerprobabilitiesandbeliefmeasures
_version_	1718407260434071552

A note on de Finetti's lower probabilities and belief measures

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