Abstract: This paper analyzes the essence of fuzzy origin, and points out the deficiencies of the existing constructional method on entropy of Vague sets. It summarizes the axiomatic definition of entropy of Vague sets according with uncertainty and fuzzyness. It presents a new weighted formula of Vague entropy, which not only completely shows the fuzzy degree of Vague set, but also gives the more reasonable and intuitive results, based on the theorem proving and examples comparison analysis.

Key words: Vague sets, uncertainty, fuzzyness, Vague entropy

摘要： 通过对Vague集的模糊来源的本质分析，指出现有模糊熵构造方法的不足，总结出综合未知度和模糊度的Vague熵的公理化定义，利用加权提出了Vague集上一种新的模糊熵计算公式，并通过定理证明和实例对比分析，说明它不仅能充分反映Vague集的模糊程度，而且所得结果更合理、更符合人的直觉。

关键词: Vague集, 未知度, 模糊度, Vague熵