An improved fuzzy risk analysis by using a new similarity measure with center of gravity and area of trapezoidal fuzzy numbers
An improved fuzzy risk analysis by using a new similarity measure with center of gravity and area of trapezoidal fuzzy numbers
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通过使用具有重心和梯形模糊数面积的新相似性度量来改进模糊风险分析
DOI：
10.1007/s00500-019-04160-7
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发表时间：
2020
期刊：
影响因子：
4.1
通讯作者：
Han Zhou
中科院分区：
文献类型：
--
作者：
Peng Wu;Ligang Zhou;Huayou Chen;Han Zhou
本文的目的是建立一种新的广义梯形模糊数的相似性测度。首先，提出了一种计算GTFNs重心的新方法。然后，针对现有相似性度量方法的不足，提出了一种利用gtfn的COGs、面积、高度和几何距离的相似性度量方法。研究了所提出的相似测度的一些性质。此外，利用32组不同的gtfn，我们将所提出的相似性度量与现有的相似性度量进行了比较。利用新的相似度测度对两个模糊风险分析问题进行了分析，结果表明该测度是处理模糊风险分析问题的有效方法。
This paper is to develop a new similarity measure of generalized trapezoidal fuzzy numbers (GTFNs). Firstly, a new method to calculate the center of gravity (COG) of GTFNs is put forward. Then, based on the drawbacks of existing similarity measures, a new similarity measure is proposed by using the COGs, areas, heights and geometric distances of GTFNs. Some properties of the proposed similarity measure are investigated. Moreover, with 32 different sets of GTFNs, we make a comparison between the proposed similarity measure and the existing similarity measures. Furthermore, two fuzzy risk analysis problems are analyzed by utilizing the new similarity measure and the results indicate that it is effective to deal with fuzzy risk analysis problems.