Porovnat metody
Prohlédněte si vybrané metody vedle sebe; řádky, které se liší, jsou zvýrazněny.
| Teorie možnosti× | Teorie důkazů Dempstera-Shafera× | Nepřesná pravděpodobnost× | |
|---|---|---|---|
| Obor | Soft computing | Soft computing | Soft computing |
| Rodina≠ | Machine learning | Machine learning | Bayesian methods |
| Rok vzniku≠ | 1988 | 1976 | 1991 |
| Tvůrce≠ | Lotfi Zadeh; Didier Dubois & Henri Prade | Arthur P. Dempster & Glenn Shafer | Peter Walley |
| Typ≠ | Uncertainty quantification framework | Uncertainty calculus for combining evidence | Set-valued probability model |
| Původní zdroj≠ | Dubois, D., & Prade, H. (1988). Possibility Theory: An Approach to Computerized Processing of Uncertainty. Plenum Press. ISBN: 978-0-306-42520-2 | Dempster, A. P. (1967). Upper and lower probabilities induced by a multivalued mapping. The Annals of Mathematical Statistics, 38(2), 325–339. DOI ↗ | Walley, P. (1991). Statistical Reasoning with Imprecise Probabilities. Chapman & Hall. ISBN: 978-0-412-28660-5 |
| Další názvy | Fuzzy Possibility Theory, Possibilistic Reasoning, Olasılık Teorisi (Bulanık), Possibility Distribution Theory | evidence theory, belief functions, evidential reasoning, Dempster-Shafer kanıt teorisi | Lower-Upper Probability, Robust Bayesian Analysis, Credal Set Theory, Belirsiz Olasılık |
| Příbuzné≠ | 3 | 4 | 3 |
| Shrnutí≠ | Possibility Theory is a mathematical framework for representing and reasoning under uncertainty, introduced by Lotfi Zadeh in 1978 and systematically developed by Didier Dubois and Henri Prade in their 1988 monograph. It uses possibility distributions — functions assigning a degree in [0,1] to each element of a universe — to encode what is plausible or consistent with available information, complementing probability theory for situations where data is scarce or knowledge is imprecise. | Dempster-Shafer theory is a mathematical framework for reasoning under uncertainty that generalizes Bayesian probability by representing ignorance explicitly. Instead of forcing a single probability on each hypothesis, it assigns belief mass to sets of hypotheses and derives a belief-plausibility interval, and it provides Dempster's rule for fusing evidence from multiple independent sources. Developed from Arthur Dempster's 1967 work and Glenn Shafer's 1976 monograph, it underpins evidential reasoning and sensor/decision fusion. | Imprecise probability is a generalization of standard probability theory that represents epistemic uncertainty through sets of probability measures, called credal sets, rather than a single precise distribution. Introduced systematically by Peter Walley in his 1991 monograph, the framework characterizes beliefs via lower and upper probabilities (or previsions), bracketing the range of plausible probability assignments when available information is insufficient to determine a unique measure. |
| ScholarGateDatová sada ↗ |
|
|
|