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| Evaluating and Analyzing Measurement Uncertainty Based on the Theory of Evidence |
| YU Xue-feng,YU Jie,WANG Ke,ZHANG Kai-wei |
| Unit 63870, PLA, Huayin, Shaanxi 714200, China |
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Abstract Deal with the limitations of GUM recommendations to express the measurement uncertainty based on a probabilistic and statistical theory, a more general approach which framed within the theory of the evidence was proposed. The method can represent the measurement result and its associated uncertainty in terms of random-fuzzy variables. An exhaustive mathematical framework and RFV membership functions was established according to the available information. The procedure for expressing the measurement uncertainty in terms of RFV was given by simple examples. The experimental results reported show that RFV are capable of both providing all the intervals of confidence and representing the different contributions to uncertainty. By compared with the approach of the GUM, the RFV method allows representing the dispersion of the values that could reasonably be attributed to the measured in a more suitable way than the probability theory, especially when no negligible nonrandom effects are present.
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Received: 22 November 2015
Published: 28 February 2017
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2017, Vol. 38 
