一种基于模糊数相似度的风险分析方法  

A New Fuzzy Risk Analysis Method Based on Similarity Measures of Generalized Fuzzy Numbers

作　　者：陈树伟[1] 王延昭[1] 

机构地区：[1]郑州大学电气工程学院,河南郑州450001

出　　处：《模糊系统与数学》2013年第5期112-122,共11页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(61175055);教育部高等学校博士学科点专项科研基金资助项目(20114101110005)

摘　　要：基于模糊数相似度的风险分析方法具有广泛的应用前景。本文在综合考虑两个广义模糊数之间的重心距离、高度以及形状等指标的基础上,提出一种新的广义模糊数相似度计算方法以解决风险分析问题。首先,在对已有广义模糊数相似度计算方法分析的基础上,提出一种新的相似度计算方法,并证明了其一些性质;其次,基于27组具有代表性的广义模糊数,与其他广义模糊数相似度的计算方法进行比较,进一步说明所提出算法的优越性;最后,将所提出的广义模糊数相似度计算方法用于进行风险分析。Fuzzy risk analysis based on the similarity measures between generalized fuzzy numbers has been successfully applied to many areas. By considering some specific differences, including the center of gravity, the height and the shape, between the generalized fuzzy numbers, this paper presents a new approach for calculating similarity measures between generalized fuzzy numbers to solve risk analysis problems. Firstly, the approach for calculating similarity measures between generalized fuzzy numbers isproposed along with the analysis of the existing similarity calculation methods, and some properties are proved accordingly. Then, the superiority of the proposed approach is further illustrated by comparing with the other methods based on 27 sets of representative generalized fuzzy numbers. At last, the proposed similarity calculation method is applied to a fuzzy risk analyze problem.

关 键 词：模糊风险分析 广义模糊数 相似度 语言值 

分 类 号：TP182[自动化与计算机技术—控制理论与控制工程]