The theory of interval-probability as a unifying concept for uncertainty
By Kurt Weichselberger. International Journal of Approximate Reasoning, 2000
416 citations recorded by the source corpus.
Abstract The concept of interval-probability is motivated by the goal to generalize classical-probability so that it can be used for describing uncertainty in general. The foundations of the theory are based on a system of three axioms — in addition to Kolmogorov's axioms — and definitions of independence as well as of conditional-probability. The resulting theory does not depend upon interpretations of the probability concept. As an example of generalising classical results Bayes' theorem is described — other theorems are only mentioned.
Subfields: Artificial Intelligence, Management Science and Operations Research
View Paper: https://www.semanticscholar.org/paper/d9e4d5984d99ed4df73c02cc75520ec500fabab8
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Artificial Intelligence
In Management Science and Operations Research
Citations in the corpus
- The Value of Using Imprecise Probabilities in Engineering Design (2006, background): “Since Keynes, many researchers have presented theories of uncertainty that start with the notion that probabilities in general can only be bounded by upper and lower (or imprecise) probabilities [33-37] or sets of probabilities [38-40].”
- Imprecise probabilities based on generalised intervals for system reliability assessment (2010, methodology): “F-probability (Weichselberger (2000)) incorporates intervals into the probability value which maintains Kolmogorov properties.”
- Imprecise probabilities in engineering analyses (2013, neutral): “Imprecise probabilities have a close relationship to the theory of random sets [56, 57] and cover, for example, the concept of upper and lower probabilities [58], sets of probability measures [59], distribution envelopes [60], probability bounds analysis using p-boxes [61], interval probabilities [6”