As an extension of probability theory, evidence theory is able to better handle unknown and imprecise information. Owing to its advantages, evidence theory has more flexibility and effectiveness for modeling and processing uncertain information. Uncertainty measure plays an essential role both in evidence theory and probability theory. In probability theory, Shannon entropy provides a novel perspective for measuring uncertainty. Various entropies exist for measuring the uncertainty of basic probability assignment (BPA) in evidence theory. However, from the standpoint of the requirements of uncertainty measurement and physics, these entropies are controversial. Therefore, the process for measuring BPA uncertainty currently remains an open issue in the literature. Firstly, this paper reviews the measures of uncertainty in evidence theory followed by an analysis of some related controversies. Secondly, we discuss the development of Deng entropy as an effective way to measure uncertainty, including introducing its definition, analyzing its properties, and comparing it to other measures. We also examine the concept of maximum Deng entropy, the pseudo-Pascal triangle of maximum Deng entropy, generalized belief entropy, and measures of divergence. In addition, we conduct an analysis of the application of Deng entropy and further examine the challenges for future studies on uncertainty measurement in evidence theory. Finally, a conclusion is provided to summarize this study.

作为概率理论的扩展，证据理论能够更好地处理未知和不精确的信息。由于其优点，证据理论在建模和处理不确定信息方面具有更大的灵活性和有效性。不确定性度量在证据论和概率论中都起着至关重要的作用。在概率论中，香农熵为测量不确定性提供了新颖的视角。证据理论中存在各种熵来衡量基本概率分配（BPA）的不确定性。但是，从不确定性测量和物理要求的角度来看，这些熵是有争议的。因此，测量BPA不确定性的方法目前仍是文献中的一个未解决的问题。首先，本文回顾了证据理论中不确定性的度量，然后分析了一些相关的争议。其次，我们讨论了邓熵的发展，作为衡量不确定性的有效方法，包括介绍其定义，分析其性质以及将其与其他度量进行比较。我们还研究了最大邓熵的概念，最大邓熵的伪帕斯卡三角形，广义信念熵和散度测度。此外，我们对邓熵的应用进行了分析，并进一步研究了证据理论中不确定性度量的未来研究挑战。最后，提供结论以总结这项研究。包括介绍其定义，分析其属性并将其与其他度量进行比较。我们还研究了最大邓熵的概念，最大邓熵的伪帕斯卡三角形，广义信念熵以及散度的度量。此外，我们对邓氏熵的应用进行了分析，并进一步研究了证据理论中不确定性度量的未来研究挑战。最后，提供结论以总结这项研究。包括介绍其定义，分析其属性并将其与其他度量进行比较。我们还研究了最大邓熵的概念，最大邓熵的伪帕斯卡三角形，广义信念熵以及散度的度量。此外，我们对邓氏熵的应用进行了分析，并进一步研究了证据理论中不确定性度量的未来研究挑战。最后，提供结论以总结这项研究。我们对邓熵的应用进行了分析，并进一步研究了证据理论中不确定性度量的未来研究挑战。最后，提供结论以总结这项研究。我们对邓熵的应用进行了分析，并进一步研究了证据理论中不确定性度量的未来研究挑战。最后，提供结论以总结这项研究。