Abstract: It firstly studies the virtue and disadvantage of similarity measures between Vague sets in the paper named“Basic rules and general method on similarity measures between Vague sets”，which was published on this periodical?on No.4 in 2008.Considering the difference of hesitating degree between Vague numbers having some impact on similar degree，it puts forward a new similarity measure which takes into account true membership degree and false membership degree and relative advantage and the sum of hesitating degree and the difference of hesitating degree at the same time.It has proved the disadvantage of Wang Weiping’s method and the virtue of new similarity measure.And it uses the new measure for diagnosing illness.

Key words: Vague set, similar degree, the sum of hesitating degree, the difference of hesitating degree

摘要： 研究了本刊2008年第4期王伟平的论文“Vague 集之间相似性度量的基本准则与一般方法”中的Vague集间相似度量方法的优点和不足，考虑到犹豫度之差对相似度的影响，提出同时考虑真隶属度、假隶属度、相对优势、犹豫度之和以及犹豫度之差的Vague集相似度量方法，并证明王伟平相似度量方法的不足和新相似度量方法的优点，并把新相似度量方法应用于病症诊断中。

关键词: Vague集, 相似度, 犹豫度之和, 犹豫度之差