Uncertainty modeling of random and systematic errors by means of Monte Carlo and fuzzy techniques

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dc.identifier.uri http://dx.doi.org/10.15488/186
dc.identifier.uri http://www.repo.uni-hannover.de/handle/123456789/208
dc.contributor.author Alkhatib, Hamza
dc.contributor.author Neumann, Ingo
dc.contributor.author Kutterer, Hansjörg
dc.date.accessioned 2016-02-02T12:03:11Z
dc.date.available 2016-02-02T12:03:11Z
dc.date.issued 2009-06-15
dc.identifier.citation Alkhatib, Hamza; Neumann, Ingo; Kutterer, Hansjörg: Uncertainty modeling of random and systematic errors by means of Monte Carlo and fuzzy techniques. In: Journal of Applied Geodesy 3 (2009), Nr. 2, S: 67-79. DOI: http://dx.doi.org/10.1515/JAG.2009.008
dc.description.abstract The standard reference in uncertainty modeling is the “Guide to the Expression of Uncertainty in Measurement (GUM)”. GUM groups the occurring uncertain quantities into “Type A” and “Type B”. Uncertainties of “Type A” are determined with the classical statistical methods, while “Type B” is subject to other uncertainties which are obtained by experience and knowledge about an instrument or a measurement process. Both types of uncertainty can have random and systematic error components. Our study focuses on a detailed comparison of probability and fuzzy-random approaches for handling and propagating the different uncertainties, especially those of “Type B”. Whereas a probabilistic approach treats all uncertainties as having a random nature, the fuzzy technique distinguishes between random and deterministic errors. In the fuzzy-random approach the random components are modeled in a stochastic framework, and the deterministic uncertainties are treated by means of a range-of-values search problem. The applied procedure is outlined showing both the theory and a numerical example for the evaluation of uncertainties in an application for terrestrial laserscanning (TLS). eng
dc.description.sponsorship DFG/KU/1250/4-2
dc.language.iso eng
dc.publisher Berlin : Walter de Gruyter
dc.relation.ispartofseries Journal of Applied Geodesy 3 (2009), Nr. 2
dc.rights Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. Dieser Beitrag ist aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich.
dc.subject GUM eng
dc.subject Monte Carlo methods eng
dc.subject fuzzy methods eng
dc.subject.ddc 550 | Geowissenschaften
dc.subject.ddc 510 | Mathematik
dc.title Uncertainty modeling of random and systematic errors by means of Monte Carlo and fuzzy techniques eng
dc.type article
dc.type Text
dc.relation.essn 1862-9024
dc.relation.issn 1862-9016
dc.relation.doi http://dx.doi.org/10.1515/JAG.2009.008
dc.bibliographicCitation.issue 2
dc.bibliographicCitation.volume 3
dc.bibliographicCitation.firstPage 67
dc.bibliographicCitation.lastPage 79
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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