关键词: Fuzzy集, Vague集, 效果函数, 真/假隶属函数, 转化方法

Abstract: The current method about Vague sets into a Fuzzy sets is usually based on intuition, but it did not elaborate theory . In order to better understand the process of Vague sets into Fuzzy sets , the process is simulated to be a multi-Vote which has no abstention , so as to put forward the kind of effect function definition to indicate degree of support .To ensure that the overall effect of interest has not changed in the transformation process , a new method based on conversion of equivalent effect is proposed in view of the first mean value theorem for the integrals .Finally , according to the data, the good nature and rationality of the method is carefully analyzed.

Key words: Fuzzy sets, Vague sets, Effect function, true/false membership function, Transformation method