This paper investigates measures of uncertainty for knowledge bases by using their knowledge structures. Knowledge structures of knowledge bases are first introduced. Then, dependence and independence between knowledge structures of knowledge bases are proposed, which are characterized by inclusion degree. Next, measures of uncertainty for a given knowledge base are studied, and it is proved that the proposed measures are based on the knowledge structure of this knowledge base. Finally, a numerical experiment is conducted to show performance of the proposed measures and effectiveness analysis is done from two aspects of dispersion and correlation in statistics. These results will be significant for understanding the essence of uncertainty for knowledge bases.

中文翻译：

---

知识库不确定性的度量

本文利用知识库的知识结构来研究不确定性的度量。首先介绍知识库的知识结构。然后，提出了以包含度为特征的知识库知识结构之间的依存关系和独立性。接下来，研究了给定知识库的不确定性度量，并证明了所提出的度量是基于该知识库的知识结构的。最后，进行了数值实验以证明所提出的措施的性能，并从统计的分散性和相关性两个方面进行了有效性分析。这些结果对于理解知识库不确定性的本质将具有重要意义。