一种新的广义模糊数相似度计算方法  

Fuzzy Risk Analysis Based on Similarity Measures of Generalized Fuzzy Numbers

作　　者：陈树伟[1] 王延昭[1] 周威[1] 

机构地区：[1]郑州大学电气工程学院,河南郑州450001

出　　处：《郑州大学学报（工学版）》2013年第4期50-54,共5页Journal of Zhengzhou University（Engineering Science）

基　　金：国家自然科学基金资助项目(61175055)

摘　　要：针对现有关于广义模糊数间相似度计算方法的不足之处,提出了一种新的广义模糊数间相似度计算方法以解决风险分析问题.首先,提出一种新的广义模糊数间相似度的计算方法,该方法综合考虑了两个广义模糊数之间的重心距离、高度以及形状等具体差异,同时证明了所提出算法的一些性质;其次,通过与现有广义模糊数间相似度的计算方法进行比较,说明所提出算法的优越性;最后,总结提出算法的优缺点.In view of the defects of the previous methods about fuzzy risk analysis based on similarity measures between generalized fuzzy numbers, this paper presents a new method for fuzzy risk analysis based on similarity measures between generalized fuzzy numbers. Firstly, we present a new method based on similarity measure between generalized fuzzy numbers. The method comprehensively considered the specific differences between two generalized fuzzy numbers, including the center of distance, the height and the shape of generalized fuzzy numbers ; and at the same time, we also prove some properties of the proposed method ; and then we illustrate the superiority of the proposed method by comparing the other methods based on similarity measures between generalized fuzzy numbers. Lastly, we summarize the advantages and disadvantages of the proposed algorithm.

关 键 词：模糊风险分析 广义模糊数 相似度 

分 类 号：TP182[自动化与计算机技术—控制理论与控制工程]