A fuzzy approach for the expression of uncertainty in measurement
A fuzzy approach for the expression of uncertainty in measurement
复制标题
DOI：
10.1016/s0263-2241(00)00036-1
复制
发表时间：
2001-04-01
期刊：
影响因子：
5.6
通讯作者：
Foulloy, L
中科院分区：
文献类型：
--
作者：
Mauris, G;Lasserre, V;Foulloy, L
本文讨论了测量不确定度的模糊表示。提出的模糊方法包括表示测量的置信区间堆叠在一个家庭的顶部，事实上定义的概率分布的上限与这些置信区间一致。这种方法与ISO指南中关于测量不确定度的表述相兼容，并且特别有趣，因为它允许处理测量的特异性和不确定度。此外，模糊不确定性传播是可用的，这要归功于模糊算法，这是区间分析的推广，同时产生最坏情况下的结果和最佳估计。为了简化传播，提出了一种近似最优的参数化可能性分布，并与概率方法进行了比较。(C)2001爱思唯尔科技有限公司版权所有。
This paper deals with a fuzzy expression of uncertainty in measurement. The fuzzy approach proposed consists of representing measurements by a family of intervals of confidence stacked atop one another, that in fact define the upper bound of the probability distributions consistent with these intervals of confidence. This approach is compatible with the ISO Guide for the expression of uncertainty in measurement, and is particularly interesting because it allows both the handling of specificity and uncertainty of measurement. Moreover, fuzzy uncertainty propagation is available thanks to fuzzy arithmetic, which is a generalization of interval analysis, yielding both worst case results and best estimates at the same time. In order to simplify the propagation, a parameterized possibility distribution approximating the optimal one is proposed and compared with the probabilistic approaches. (C) 2001 Elsevier Science Ltd. All rights reserved.