EVALUATING UNCERTAINTIES OF LASERSCANNER MEASUREMENTS BY USING A JOINT MONTE CARLO AND FUZZY APPROACH

Hamza Alkhatib, Ingo Neumann, Hansjürg Kutterer

Abstract

The evaluation of uncertainties according to the "Guide to the Expression of Uncertainty in Measurement" is presented in this study based on a novel Fuzzy-random-variables approach. Whereas the classically proposed methods like Monte Carlo techniques treat all uncertainties as having a random nature, the fuzzy technique distinguishes between aleatoric and epistemic uncertainties. The aleatoric components are modeled in a Monte Carlo framework, and the epistemic uncertainties were treated with fuzzy techniques. The applied procedure is outlined showing both the theory and a numerical example for the evaluation of uncertainties in an application for terrestrial laserscanning.

Keywords

GUM, Monte Carlo, Fuzzy technique

Download

IMEKO-WC-2009-TC21-389.pdf

DOI

-

IMEKO TC

TC21 - Mathematical Tools for Measurements

Back to the proceedings