Given a probability distribution, its corresponding information volume is Shannon entropy. However, how to determine the information volume of a given mass function is still an open issue. Based on Deng entropy, the information volume of mass function is presented in this paper. Given a mass function, the corresponding information volume is larger than its uncertainty measured by Deng entropy. In addition, when the cardinal of the frame of discernment is identical, both the total uncertainty case and the BPA distribution of the maximum Deng entropy have the same information volume. Some numerical examples are illustrated to show the efficiency of the proposed information volume of mass function.

中文翻译：

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质量函数的信息量

给定概率分布，其相应的信息量为香农熵。但是，如何确定给定质量函数的信息量仍然是一个悬而未决的问题。基于邓氏熵，提出了质量函数的信息量。给定质量函数，相应的信息量大于通过邓熵测量的不确定性。另外，当识别帧的基数相同时，总不确定情况和最大邓熵的BPA分布都具有相同的信息量。说明了一些数值示例，以显示所提出的质量函数信息量的效率。