Abstract: It is proposed that the fuzziness of Vague sets comes from three partitions, which are the unknown information, the uncertainty information and fuzzy information between them. A new formula on the fuzzy entropy of　Vague sets is proposed by analyzing the existing methods. The axiomatic definition and theorem are improved and proved. The fuzzy entropy of Vague sets is pointed out to really take into account the unknown, the uncertainty and fuzziness between them on the given formula by example analysis, and it is proved that the definition on the fuzzy entropy of Vague sets is more efficient and rational.

Key words: Vague sets, Fuzzy sets, uncertainty, fuzzy entropy

摘要： 提出了Vague集模糊性主要来自3个部分，分别为未知信息、不确定信息及它们的交叉模糊信息，通过分析现有方法，给出一种新的Vague集模糊熵度量方法，并改进了它的公理化定义和证明了它的正确性。通过实例分析，指出它同时考虑了Vague集的未知性、不确定性和两者之间的交叉模糊性，从而证明所给出Vague集模糊熵的定义是更加合理的。

关键词: Vague集, Fuzzy集, 不确定性, 模糊熵