The theory of interval-probability as a unifying concept for uncertainty

✍ Scribed by Kurt Weichselberger

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 150 KB
• Volume: 24
• Category: Article
• ISSN: 0888-613X
• DOI: 10.1016/s0888-613x(00)00032-3

✦ Synopsis

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 de®nitions 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.