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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| Format: | Article |
| Language: | English |
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Sapienza Università Editrice
2008-01-01
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| Series: | Rendiconti di Matematica e delle Sue Applicazioni |
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| Online Access: | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2008(3-4)/229-235.pdf |
| _version_ | 1819126797853261824 |
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| author | Radko Mesiar |
| author_facet | Radko Mesiar |
| author_sort | Radko Mesiar |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-22T08:01:45Z |
| format | Article |
| id | doaj.art-f617e7e69727423db900163a7d648197 |
| institution | Directory Open Access Journal |
| issn | 1120-7183 2532-3350 |
| language | English |
| last_indexed | 2024-12-22T08:01:45Z |
| publishDate | 2008-01-01 |
| publisher | Sapienza Università Editrice |
| record_format | Article |
| series | Rendiconti di Matematica e delle Sue Applicazioni |
| spelling | doaj.art-f617e7e69727423db900163a7d6481972022-12-21T18:33:14ZengSapienza Università EditriceRendiconti di Matematica e delle Sue Applicazioni1120-71832532-33502008-01-01283-4229235A note on de Finetti's lower probabilities and belief measuresRadko Mesiar0Slovak University of TechnologyDe 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.https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2008(3-4)/229-235.pdfbelief measurek-additivitylower probabilityplausibility measureupper probability |
| spellingShingle | Radko Mesiar A note on de Finetti's lower probabilities and belief measures Rendiconti di Matematica e delle Sue Applicazioni belief measure k-additivity lower probability plausibility measure upper probability |
| title | 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_short | A note on de Finetti's lower probabilities and belief measures |
| title_sort | note on de finetti s lower probabilities and belief measures |
| topic | belief measure k-additivity lower probability plausibility measure upper probability |
| url | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2008(3-4)/229-235.pdf |
| work_keys_str_mv | AT radkomesiar anoteondefinettislowerprobabilitiesandbeliefmeasures AT radkomesiar noteondefinettislowerprobabilitiesandbeliefmeasures |