Vague集之间的相似度量分析

Vague集的相似度量是Vague集在各个应用领域中的关键技术．本文根据相似工程学原理，指出一个相似度量必须满足的约束条件，提出一种改进的Vague集相似度量公理化定义，然后引入一种新的Vague集相似度量方法，并证明它满足这些公理化条件，最后，用实例说明其应用以及该方法的有效性和直观性.

Analysis of Similarity Measures Between Vague Sets

Similarity measure of vague set is one of the most important technologies in various applications fields of vague set.In this paper,according to the theory of similarity engineering,a necessary condition of similarity measure is pointed out,and an improved axiom definition of similarity measure of vague set is proposed,then a new method of similarity measure is introduced,and proved to satisfy the axiom defined above.Finally,the application of the similarity measure and its validity and intuition are illustrated by an example.