Abstract: The fuzzy entropy of Vague sets should include the unknown and the uncertainty.First，this paper introduces some algebra properties of vague sets and then points out deficiencies of the existing constructional method on entropy of vague sets and gives out a new axiom definition of the fuzzy entropy of vague sets taking into account two factors and presents a new corresponding formula of the fuzzy entropy of vague sets.By proving the theorem and analyzing the example，it is proved that the new formula is more reasonable and the results accord with people’s intuition.

摘要： Vague集的模糊熵既要有Vague集的未知性又要有fuzzy集的不确定性，首先介绍Vague集的相关代数性质，然后通过分析现有Vague熵构造方法上的不足，提出一种同时考虑以上两种特性新的基于公理化Vague熵的定义及模糊熵的计算公式，通过论证和举例分析，指出这种新的模糊熵更合理，更符合人们的直觉。