
Dempster–Shafer theory
The theory of belief functions, also referred to as evidence theory or Dempster–Shafer theory (DST), is a general framework for reasoning with uncertainty, with understood connections to other frameworks such as probability, possibility and imprecise probability theories. First introduced by Arthur P. Dempster in the context of statistical inference, the theory was later developed by Glenn Shafer into a general framework for modeling epistemic uncertainty—a mathematical theory of evidence. The theory allows one to combine evidence from different sources and arrive at a degree of belief (represented by a mathematical object called belief function) that takes into account all the available evidence.
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- enThe theory of belief functions, also referred to as evidence theory or Dempster–Shafer theory (DST), is a general framework for reasoning with uncertainty, with understood connections to other frameworks such as probability, possibility and imprecise probability theories. First introduced by Arthur P. Dempster in the context of statistical inference, the theory was later developed by Glenn Shafer into a general framework for modeling epistemic uncertainty—a mathematical theory of evidence. The theory allows one to combine evidence from different sources and arrive at a degree of belief (represented by a mathematical object called belief function) that takes into account all the available evidence.
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- enJuly 2022
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- enThe theory of belief functions, also referred to as evidence theory or Dempster–Shafer theory (DST), is a general framework for reasoning with uncertainty, with understood connections to other frameworks such as probability, possibility and imprecise probability theories. First introduced by Arthur P. Dempster in the context of statistical inference, the theory was later developed by Glenn Shafer into a general framework for modeling epistemic uncertainty—a mathematical theory of evidence. The theory allows one to combine evidence from different sources and arrive at a degree of belief (represented by a mathematical object called belief function) that takes into account all the available evidence. In a narrow sense, the term Dempster–Shafer theory refers to the original conception of the theory by Dempster and Shafer. However, it is more common to use the term in the wider sense of the same general approach, as adapted to specific kinds of situations. In particular, many authors have proposed different rules for combining evidence, often with a view to handling conflicts in evidence better. The early contributions have also been the starting points of many important developments, including the transferable belief model and the theory of hints.
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- enDempster–Shafer theory
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- www.academia.edu/download/34376015/19.pdf
- www.bfasociety.org/
- bfasociety.org/Belief2010/index.htm
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- Arrovian uncertainty
- Arthur P. Dempster
- Bayes' rule
- Bayes' theorem
- Bayesianism
- Bayesian network
- Bayesian probability
- Calculus of relations
- Category:Belief
- Category:Dempster–Shafer theory
- Checksum
- Choquet integral
- Classical logic
- Composition of relations
- Cox's theorem
- Doxastic logic
- Dutch Book
- Ellsberg's paradox
- Empty set
- Epistemology
- Evidence
- False dilemma
- File:Dempster in Brest.JPG
- G. L. S. Shackle
- Glenn Shafer
- Gunther Schmidt
- Howard Raiffa
- Ignorance
- Imprecise probability
- Info-gap decision theory
- Judea Pearl
- Knightian uncertainty
- Lattice (order)
- Linear belief function
- Logical consequence
- Partial order
- Possibility theory
- Power set
- Probabilistic logic
- Probability axioms
- Probability distribution
- Probability theory
- Risk
- Rough set theory
- Sensor fusion
- Set Theory
- Springer Science+Business Media
- Subjective logic
- Sugeno integral
- Total order
- Transferable belief model
- Universe (mathematics)
- Upper and lower probabilities
- SameAs
- 2fAk5
- SameAs
- 84495868
- SameAs
- Dempsterin–Shaferin teoria
- Evidenztheorie
- m.01h18g
- Q285997
- Teoria de Dempster-Shafer
- Teoría de Dempster-Shafer
- Teoryang Dempster-Shafer
- Théorie de Dempster-Shafer
- Теория Демпстера — Шафера
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- Category:Belief
- Category:Dempster–Shafer theory
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