Dempster–Shafer theory

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.
Date
enJuly 2022
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Dempster in Brest.jpg
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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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Dempster–Shafer theory
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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
Subject
Category:Belief
Category:Dempster–Shafer theory
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