Abstract: This paper points out some problems of existing methods of transforming vague sets into fuzzy sets, and gives out some constraint criterions which are satisfied by the method of transforming vague sets into fuzzy sets, and puts forward a new method of transforming vague sets into fuzzy sets, shows that this method is more reasonable than other existing methods by some instances.

Key words: vague sets, fuzzy sets, membership function, transformation method

摘要： 指出了Vague集向Fuzzy集转化已有方法存在的不足，给出了Vague集转化为Fuzzy集应满足的约束准则，提出了一种Vague集向Fuzzy集转化的新方法，并证明了该方法的有效性，通过实例说明该方法比已有方法更合理。

关键词: Vague集, Fuzzy集, 隶属函数, 转化方法