近幾年來，模糊數的相似度測量在模糊決策 、資訊融合和模糊風險分析之中扮演了重要的角色。在本論文中，我們提出了可應用在一般模糊數以及區間值模糊數的兩個相似度測量方法，此兩種方法考慮了模糊數的幾何距離、周長、高度及重心。之外，我們也提出區間值模糊數之調整演算法。根據我們所提之一般模糊數相似度測量方法及區間值模糊數相似度測量方法，我們分別提出新的風險分析方法，我們所提的風險分析方法可以克服目前已存在之方法的缺點。他們比目前已存在之方法更具智慧及更具有彈性的作風險分析。

In recent years, the task of measuring the degree of similarity between fuzzy numbers plays an important role in fuzzy decision making, information fusion and fuzzy risk analysis. In this thesis, we present two similarity measures for generalized fuzzy numbers and interval-valued fuzzy numbers. It combines the concepts of geometric distance, the perimeter, height and center of gravity point of generalized fuzzy numbers and interval-valued fuzzy number, respectively. Moreover, we also presented an interval-valued fuzzy number adjusting algorithm. Based on proposed similarity measures, we propose two new methods for handling fuzzy risk analysis problems. The proposed fuzzy risk analysis methods can overcome the drawback of existing methods. They can deal with fuzzy risk analysis in a more intelligent and flexible manner.

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