This work introduces belief inaccuracy information (BII) and Jensen–belief inaccuracy information (JBII), grounded in the foundational concept of basic probability assignment. The significance of these novel methodologies lies in their potential to advance the field by providing valuable insights into belief accuracy assessment. The research not only establishes these measures but also highlights their relevance in addressing critical challenges within the realm of probability assignment. Further, some results associated with these proposed information measures were established. In addition, the BII and JBII measures were examined for escort and generalized escort of basic probability assignment functions, where an escort basic probability assignment with order $\alpha$ is constructed based on the power $\alpha$ of a baseline basic probability assignment with a normalizing constant. Finally, this paper presents compelling results derived from the application of BII and JBII measures. A detailed simulation of Conway’s game of life cellular automaton is described, showcasing the utility of these measures in analyzing belief inaccuracies within complex dynamic systems. Furthermore, an application to ozone time series is explored, employing belief Kullback–Leibler and belief chi-square divergences. This application specifically focuses on the study of station discrepancies, revealing the versatility of the proposed measures in addressing diverse scenarios.

这项工作引入了信念不准确信息（BII）和 Jensen 信念不准确信息（JBII），以基本概率分配的基本概念为基础。这些新颖方法的重要性在于它们通过为信念准确性评估提供有价值的见解来推动该领域发展的潜力。该研究不仅建立了这些措施，还强调了它们在解决概率分配领域内的关键挑战方面的相关性。此外，还建立了与这些拟议的信息措施相关的一些结果。此外，还检查了 BII 和 JBII 度量的基本概率分配函数的护送和广义护送，其中具有顺序的护送基本概率分配$\alpha$是根据功率构建的$\alpha$具有归一化常数的基线基本概率分配。最后，本文介绍了 BII 和 JBII 措施应用中得出的令人信服的结果。描述了康威生命细胞自动机游戏的详细模拟，展示了这些措施在分析复杂动态系统中的信念不准确性方面的实用性。此外，还探讨了利用信念 Kullback-Leibler 和信念卡方散度在臭氧时间序列中的应用。该应用特别侧重于站点差异的研究，揭示了所提出的措施在解决不同场景时的多功能性。