Total belief theorem and conditional belief functions Article Swipe
Jean Dezert
,
Albena Tchamova
,
Deqiang Han
·
YOU?
·
· 2018
· Open Access
·
· DOI: https://doi.org/10.1002/int.22031
YOU?
·
· 2018
· Open Access
·
· DOI: https://doi.org/10.1002/int.22031
In this paper, new theoretical results for reasoning with belief functions are obtained and discussed. After a judicious decomposition of the set of focal elements of a belief function, we establish the total belief theorem (TBT). which is the direct generalization of the total probability theorem when working in the framework of belief functions. The TBT is also generalized for dealing with different frames of discernments thanks to Cartesian product space. From TBT, we can derive and define formally the expressions of conditional belief functions, which are consistent with the bounds of imprecise conditional probability. This work provides a direct establishment and solid justification of Fagin–Halpern belief conditioning formulas. The well-known Bayes' theorem of probability theory is then generalized in the framework of belief functions, and we illustrate it with an example at the end of this paper.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1002/int.22031
- OA Status
- green
- Cited By
- 14
- References
- 36
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W2884768255
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https://openalex.org/W2884768255Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1002/int.22031Digital Object Identifier
- Title
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Total belief theorem and conditional belief functionsWork title
- Type
-
articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2018Year of publication
- Publication date
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2018-07-23Full publication date if available
- Authors
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Jean Dezert, Albena Tchamova, Deqiang HanList of authors in order
- Landing page
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https://doi.org/10.1002/int.22031Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
- OA URL
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https://hal.science/hal-02468001Direct OA link when available
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Mathematics, Belief revision, Conditional expectation, Computer science, Mathematical economics, Discrete mathematics, Calculus (dental), Artificial intelligence, Econometrics, Medicine, DentistryTop concepts (fields/topics) attached by OpenAlex
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14Total citation count in OpenAlex
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2025: 2, 2024: 1, 2023: 2, 2021: 4, 2020: 1Per-year citation counts (last 5 years)
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36Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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| referenced_works | https://openalex.org/W2406470551, https://openalex.org/W2164296059, https://openalex.org/W2065504396, https://openalex.org/W6656874841, https://openalex.org/W2065258260, https://openalex.org/W4211258549, https://openalex.org/W4254565999, https://openalex.org/W4297917412, https://openalex.org/W1991884749, https://openalex.org/W1546149393, https://openalex.org/W4212815897, https://openalex.org/W1921284683, https://openalex.org/W2118841843, https://openalex.org/W1973393367, https://openalex.org/W1496174531, https://openalex.org/W2098352249, https://openalex.org/W2904900506, https://openalex.org/W4230656834, https://openalex.org/W2027047704, https://openalex.org/W2033810643, https://openalex.org/W1704644540, https://openalex.org/W2404214748, https://openalex.org/W4250143236, https://openalex.org/W2515590291, https://openalex.org/W4296979607, https://openalex.org/W1829283343, https://openalex.org/W1565231976, https://openalex.org/W1545024949, https://openalex.org/W2145570780, https://openalex.org/W2963766656, https://openalex.org/W94638672, https://openalex.org/W2046245205, https://openalex.org/W2038584697, https://openalex.org/W2956141605, https://openalex.org/W2103987319, https://openalex.org/W2117079761 |
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