关键词: Vague集, 相似度, 犹豫度之和, 犹豫度之差

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