Basic belief assignment approximations using degree of non-redundancy for focal element Article Swipe
Yi Yang
,
Deqiang Han
,
Jean Dezert
·
YOU?
·
· 2019
· Open Access
·
· DOI: https://doi.org/10.1016/j.cja.2019.05.003
YOU?
·
· 2019
· Open Access
·
· DOI: https://doi.org/10.1016/j.cja.2019.05.003
Dempster-Shafer evidence theory, also called the theory of belief function, is widely used for uncertainty modeling and reasoning. However, when the size and number of focal elements are large, the evidence combination will bring a high computational complexity. To address this issue, various methods have been proposed including the implementation of more efficient combination rules and the simplifications or approximations of Basic Belief Assignments (BBAs). In this paper, a novel principle for approximating a BBA into a simpler one is proposed, which is based on the degree of non-redundancy for focal elements. More non-redundant focal elements are kept in the approximation while more redundant focal elements in the original BBA are removed first. Three types of degree of non-redundancy are defined based on three different definitions of focal element distance, respectively. Two different implementations of this principle for BBA approximations are proposed including a batch and an iterative type. Examples, experiments, comparisons and related analyses are provided to validate proposed approximation approaches. Keywords: BBA approximation, Belief functions, Evidence theory, Focal element, Non-redundancy
Related Topics
Concepts
Redundancy (engineering)
Focal point
Implementation
Degree (music)
Algorithm
Focal length
Mathematical optimization
Cardinal point
Mathematics
Computer science
Element (criminal law)
Theoretical computer science
Law
Lens (geology)
Petroleum engineering
Physics
Operating system
Optics
Acoustics
Engineering
Political science
Programming language
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1016/j.cja.2019.05.003
- OA Status
- hybrid
- Cited By
- 19
- References
- 25
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W2947590398
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W2947590398Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1016/j.cja.2019.05.003Digital Object Identifier
- Title
-
Basic belief assignment approximations using degree of non-redundancy for focal elementWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2019Year of publication
- Publication date
-
2019-05-29Full publication date if available
- Authors
-
Yi Yang, Deqiang Han, Jean DezertList of authors in order
- Landing page
-
https://doi.org/10.1016/j.cja.2019.05.003Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
hybridOpen access status per OpenAlex
- OA URL
-
https://doi.org/10.1016/j.cja.2019.05.003Direct OA link when available
- Concepts
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Redundancy (engineering), Focal point, Implementation, Degree (music), Algorithm, Focal length, Mathematical optimization, Cardinal point, Mathematics, Computer science, Element (criminal law), Theoretical computer science, Law, Lens (geology), Petroleum engineering, Physics, Operating system, Optics, Acoustics, Engineering, Political science, Programming languageTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
19Total citation count in OpenAlex
- Citations by year (recent)
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2024: 2, 2023: 7, 2022: 5, 2021: 3, 2020: 2Per-year citation counts (last 5 years)
- References (count)
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25Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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| publication_year | 2019 |
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