Abstract: The fuzzy entropy of Vague sets should include the unknown and the uncertainty of Fuzzy sets.The errors of the existing definition on fuzzy entropy of Vague sets are pointed out，and an improved axiom definition of the fuzzy entropy of Vague sets taking really into account two factors is given out.Then a corresponding new calculation model of the fuzzy entropy of Vague sets is proposed.Finally the proposed definition and calculation model on fuzzy entropy of Vague sets are proved by theorem proof and analysis of existing method that they are more efficient and rational.

Key words: Vague sets, Fuzzy sets, membership function, fuzzy entropy

摘要： Vague集模糊熵应该既有Vague集的未知性又有Fuzzy集的不确定性，在指出了现有Vague集模糊熵定义的错误，给出了一个真正考虑了两种因素的改进的Vague集模糊熵公理化定义，然后提出一种Vague集模糊熵的新计算模型，最后通过定理证明和已有方法分析，给出Vague集模糊熵的定义和计算模型是更加合理的。

关键词: Vague集, Fuzzy集, 隶属函数, 模糊熵