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

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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

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To cite the version in the repository, please use this identifier: https://doi.org/10.15488/186

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Sum total of downloads: 177




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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).
License of this version: 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.
Document Type: article
Publishing status: publishedVersion
Issue Date: 2009-06-15
Appears in Collections:Fakultät für Bauingenieurwesen und Geodäsie

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pos. country downloads
total perc.
1 image of flag of Germany Germany 104 58.76%
2 image of flag of United States United States 29 16.38%
3 image of flag of Russian Federation Russian Federation 21 11.86%
4 image of flag of China China 4 2.26%
5 image of flag of Indonesia Indonesia 3 1.69%
6 image of flag of Italy Italy 2 1.13%
7 image of flag of India India 2 1.13%
8 image of flag of Algeria Algeria 2 1.13%
9 image of flag of Switzerland Switzerland 2 1.13%
10 image of flag of Brazil Brazil 2 1.13%
    other countries 6 3.39%

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