期刊
MOSCOW UNIVERSITY PHYSICS BULLETIN
卷 72, 期 2, 页码 101-112出版社
ALLERTON PRESS INC
DOI: 10.3103/S0027134917020047
关键词
mathematical model of measurement; measurement reduction; optimal decisions; measuring-computing systems
资金
- Russian Foundation for Basic Research [14-07-00441]
In this article, several known and new methods of solving the measurement data interpretation problem for probabilistic and possibilistic measurement models are compared and the dependency of their quality on the completeness and accuracy of the measurement model is analyzed. It is shown that optimal use of a researcher's prior information about the measurement model allows one to significantly increase the accuracy of the interpretation of measurements. In some cases the error of possibilistic interpretation was less than that of probabilistic one, even though possibilistic interpretation minimizes the necessity of the error, rather than the mean squared error. This is due to the fact that prior information may be sufficient to model the input signal using a fuzzy vector, but insufficient to model it using a random vector.
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