In order to give an uncertainty measurement of the interval-valued intuitionistic fuzzy rough set , initially based on a trigonometric function , an interval-valued intuitionistic fuzzy entropy formula is proposed by using a con-cise axiom definition of the interval-valued intuitionistic fuzzy entropy .The problems concerning the interval-valued intuitionistic fuzzy entropy formula discussed in the previous literature are also pointed out .Then the rough member-ship function of the interval-valued intuitionistic fuzzy set is defined and when using the interval-valued intuitionistic fuzzy entropy of rough membership functions , uncertainty measurement of the interval-valued intuitionistic fuzzy rough set is given , and some related properties of the measurement are discussed for the purpose of proving the ra-tionality of the definition .%为了给出粗糙区间直觉模糊集的不确定性度量，首先精炼了区间直觉模糊熵的公理化定义，在此基础上构造了一个基于三角函数的区间直觉模糊熵公式，并指出了以往文献中给出的区间直觉模糊熵公式存在的问题。然后定义了区间直觉模糊集的粗糙隶属函数，利用粗糙隶属函数的区间直觉模糊熵，给出了粗糙区间直觉模糊集的不确定性度量，并讨论了度量的一些相关性质，以此说明定义的合理性。
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