About: Dempster–Shafer theory

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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.

Attributes	Values
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rdfs:label	Dempster–Shafer theory (en) Evidenztheorie (de) Teoría de Dempster-Shafer (es) Théorie de Dempster-Shafer (fr) Теория Демпстера — Шафера (ru) Teoria de Dempster-Shafer (pt)
rdfs:comment	Die Evidenztheorie von Dempster und Shafer, englisch auch Theory of Belief functions, ist eine mathematische Theorie aus dem Gebiet der Wahrscheinlichkeitstheorie. Sie wird benutzt, um Informationen unterschiedlicher Quellen mit der sogenannten Dempster rule of combination zu einer Gesamtaussage zusammenzusetzen, wobei die Glaubwürdigkeit dieser Quellen in der Berechnung berücksichtigt wird. (de) La théorie de Dempster-Shafer est une théorie mathématique utilisant les fonctions de croyance et le raisonnement plausible. Le but de cette théorie est de permettre de raisonner dans une situation incertaine. Cette théorie a été développée par Arthur P. Dempster et Glenn Shafer. Elle est aussi appelée théorie des croyances ou théorie de l’évidence. (fr) A teoria Dempster–Shafer é uma teoria matemática da evidência. Ela permite combinar evidência de diferentes fontes e chegar a um grau de credibilidade (representada por uma função de credibilidade) que leva em conta toda a evidência disponível. A teoria foi primeiramente desenvolvida por e . (pt) Демпстера-Шафера теория — математическая теория очевидностей (свидетельств) ([SH76]), основанная на функции доверия (belief functions) и функции правдоподобия (plausible reasoning), которые используются, чтобы скомбинировать отдельные части информации (свидетельства) для вычисления вероятности события. Теория была развита и . (ru) La teoría Dempster–Shafer, también llamada teoría de la evidencia o teoría de funciones de creencia, es un marco general para razonar con incertidumbre, que incluye conexiones con otros marcos como la probabilidad, la posibilidad y las teorías de probabilidad imprecisa. Fue introducida por primera vez por Arthur P. Dempster en el contexto de la inferencia estadística, y posteriormente desarrollada por Glenn Shafer como un marco general para modelar la incertidumbre epistémica, en la forma de una teoría matemática de la evidencia. La teoría permite combinar evidencias de diferentes fuentes para llegar a un grado de creencia (representado por un objeto matemático llamado función de creencia) que tiene en cuenta toda la evidencia disponible. (es) 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. (en)
foaf:depiction
dcterms:subject	Belief Dempster–Shafer theory
Wikipage page ID	226660 (xsd:integer)
Wikipage revision ID	1098934973 (xsd:integer)
Link from a Wikipage to another Wikipage	Bayesian probability Power set Probability distribution Bayes' theorem Bayesian network Howard Raiffa Judea Pearl Universe (mathematics) Belief Epistemology G. L. S. Shackle Choquet integral Composition of relations Dempster–Shafer theory Empty set Ignorance Transferable belief model Total order Doxastic logic Lattice (order) Linear belief function Checksum False dilemma Glenn Shafer Knightian uncertainty Logical consequence Sensor fusion Possibility theory Probability theory Cox's theorem Arthur P. Dempster Springer Science+Business Media Classical logic Info-gap decision theory Set Theory Calculus of relations Business Gunther Schmidt Imprecise probability Probabilistic logic Evidence Bayes' rule Upper and lower probabilities Partial order Probability axioms Subjective logic Sugeno integral Dutch Book Bayesianism Rough set theory Arrovian uncertainty Ellsberg's paradox
Link from a Wikipage to an external page	http://www.bfasociety.org/ https://bfasociety.org/Belief2010/index.htm http://www.academia.edu/download/34376015/19.pdf
sameAs	Dempster–Shafer theory Dempster–Shafer theory Dempster–Shafer theory Dempster–Shafer theory Dempster–Shafer theory Dempster–Shafer theory Dempster–Shafer theory Dempster–Shafer theory Dempster–Shafer theory Dempster–Shafer theory
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