The combination of evidence in the transferable belief model
Abstract
A description of the transferable belief model, which is used to quantify degrees of belief based on belief functions, is given. The impact of open- and closed-world assumption on conditioning is discussed. The nature of the frame of discernment on which a degree of belief will be established is discussed. A set of axioms justifying Dempster's rule for the combination of belief functions induced by two distinct evidences is presented.>
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D-S evidence theory can merge independent pieces of evidence based on their confidence levels, yielding a comprehensive global assessment that integrates results from various local sensors.
“Dempster-Shafer (D-S) evidence theory can be employed to merge independent pieces of evidence based on their confidence levels, yielding a comprehensive global assessment that integrates the results from various local sensors. Consequently, it has been widely applied in multi-level data fusion24.”
From Intelligent evaluation of coal mine solid filling effect using fuzzy logic and improved D-S evidence theory (2025) · cites this paper as [24]
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SUN, L., SRIVASTAVA, R. P., & MOCK, T. J. (2006) · Journal of Management Information Systems · doi:10.2753/mis0742-1222220405 · Cited by 220 · see citing works
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Sta, H. B. (2017) · Future Generation Computer Systems · doi:10.1016/j.future.2016.12.021 · Cited by 108 · see citing works
Zhang, Z., Yang, S., & Liu, Y. (2025) · Scientific Reports · doi:10.1038/s41598-025-88913-5
- Authors
- Smets, P.
- Affiliations
- Université Libre de Bruxelles (BE)
- Corresponding author
- Smets, P.
- Venue
- IEEE Transactions on Pattern Analysis and Machine Intelligence
- Published
- 1990-05
- Volume
- 12
- Issue
- 5
- Pages
- 447-458
- ISSN
- 0162-8828 (ISSN-L)
- OpenAlex
- W1981643872
- Cited by
- 1,113
- References
- 0
- Citations by year
- 2026: 18 · 2025: 30 · 2024: 30 · 2023: 48 · 2022: 43 · 2021: 37 · 2020: 46 · 2019: 37 · 2018: 55 · 2017: 56 · 2016: 43 · 2015: 64 · 2014: 60 · 2013: 57 · 2012: 45
- FWCI
- 14.56
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- IEEE Transactions on Pattern Analysis and Machine Intelligence (publishedVersion)
- Dépôt institutionnel de l'Université libre de Bruxelles (Université Libre de Bruxelles) (submittedVersion)
- Topics
- Social Sciences › Decision Sciences › Management Science and Operations Research › Multi-Criteria Decision Making
- Physical Sciences › Computer Science › Artificial Intelligence › Bayesian Modeling and Causal Inference
- Physical Sciences › Computer Science › Artificial Intelligence › Logic, Reasoning, and Knowledge
- Keywords
- transferable belief model, Dempster-Shafer theory, belief functions, evidence combination, Dempster's rule, open world assumption, closed world assumption, conditioning, frame of discernment, axioms
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