Abstract: This paper points out deficiencies of the existing constructional method on entropy of vague sets and proposes an axiom definition of the fuzzy entropy of Vague sets those accords with the person’s intuition，and presents a new corresponding formula of the fuzzy entropy of Vague set.By proved theorem and analyzed example，it shows that the new formula has some good mathematics properties and the calculated results accord with the person’s intuition.

摘要： 通过对Vague集的模糊度本质分析，指出现有模糊熵构造方法的不足，给出了符合人们直觉的Vague集的模糊熵的公理化定义，相应地提出了一种新的Vague集的模糊熵计算公式，并通过定理证明和实例对比分析，说明它在具有良好的数学性质的同时，所得结果更合理，更符合人的直觉。