Approximate propagation of both epistemic and aleatory uncertainty through dynamic systems

Gabriel Terejanu, Puneet Singla, Tarunraj Singh, Peter D. Scott

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

When ignorance due to the lack of knowledge, modeled as epistemic uncertainty using Dempster-Shafer structures on closed intervals, is present in the model parameters, a new uncertainty propagation method is necessary to propagate both aleatory and epistemic uncertainty. The new framework proposed here, combines both epistemic and aleatory uncertainty into a second-order uncertainty representation which is propagated through a dynamic system driven by white noise. First, a finite parametrization is chosen to model the aleatory uncertainty by choosing a representative approximation to the probability density function conditioned on epistemic variables. The epistemic uncertainty is then propagated through the moment evolution equations of the conditional probability density function. This way we are able to model the ignorance when the knowledge about the system is incomplete. The output of the system is a Dempster-Shafer structure on sets of cumulative distributions which can be combined using different rules of combination and eventually transformed into a singleton cumulative distribution function using Smets' pignistic transformation when decision making is needed.

Original languageEnglish (US)
Title of host publication13th Conference on Information Fusion, Fusion 2010
StatePublished - Dec 1 2010
Event13th Conference on Information Fusion, Fusion 2010 - Edinburgh, United Kingdom
Duration: Jul 26 2010Jul 29 2010

Publication series

Name13th Conference on Information Fusion, Fusion 2010

Other

Other13th Conference on Information Fusion, Fusion 2010
CountryUnited Kingdom
CityEdinburgh
Period7/26/107/29/10

Fingerprint

Dynamical systems
Probability density function
White noise
Uncertainty
Distribution functions
Decision making

All Science Journal Classification (ASJC) codes

  • Information Systems

Cite this

Terejanu, G., Singla, P., Singh, T., & Scott, P. D. (2010). Approximate propagation of both epistemic and aleatory uncertainty through dynamic systems. In 13th Conference on Information Fusion, Fusion 2010 [5711831] (13th Conference on Information Fusion, Fusion 2010).
Terejanu, Gabriel ; Singla, Puneet ; Singh, Tarunraj ; Scott, Peter D. / Approximate propagation of both epistemic and aleatory uncertainty through dynamic systems. 13th Conference on Information Fusion, Fusion 2010. 2010. (13th Conference on Information Fusion, Fusion 2010).
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Terejanu, G, Singla, P, Singh, T & Scott, PD 2010, Approximate propagation of both epistemic and aleatory uncertainty through dynamic systems. in 13th Conference on Information Fusion, Fusion 2010., 5711831, 13th Conference on Information Fusion, Fusion 2010, 13th Conference on Information Fusion, Fusion 2010, Edinburgh, United Kingdom, 7/26/10.

Approximate propagation of both epistemic and aleatory uncertainty through dynamic systems. / Terejanu, Gabriel; Singla, Puneet; Singh, Tarunraj; Scott, Peter D.

13th Conference on Information Fusion, Fusion 2010. 2010. 5711831 (13th Conference on Information Fusion, Fusion 2010).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Terejanu G, Singla P, Singh T, Scott PD. Approximate propagation of both epistemic and aleatory uncertainty through dynamic systems. In 13th Conference on Information Fusion, Fusion 2010. 2010. 5711831. (13th Conference on Information Fusion, Fusion 2010).