解决异源数据融合难题,让不同来源的证据能有效结合。
FNBT: Full Negation Belief Transformation for Open-World Information Fusion Based on Dempster-Shafer Theory of Evidence
- 通过扩展框架并引入全否定机制,处理异构证据来源。
- 在真实数据集上分类准确率显著提升,且化解了经典反例难题。
- 适合多源信息融合、开放世界场景下的决策系统应用。
Dempster-Shafer理论在不确定性信息融合中广泛应用,但现有研究多集中于同一辨识框架内的证据整合。现实场景中,算法或数据常来自不同区域或组织,存在数据孤岛现象,导致生成的基本概率分配对应异构框架,传统融合方法效果不佳。为此,本文提出基于D-S理论的开放世界信息融合方法——全否定信念变换(FNBT)。首先定义判断融合任务是否属于开放世界的准则;随后通过框架扩展,容纳异构框架中的元素;最后采用全否定机制转换质量函数,使已有组合规则可应用于转换后的质量函数。理论上,该方法满足质量函数不变性、继承性与本质冲突消除三项理想性质,并经严格证明。实验表明,FNBT在真实数据集的模式分类任务中表现优异,成功解决了Zadeh的经典反例问题,验证了其实际有效性。
原文摘要 · Abstract (English)
The Dempster-Shafer theory of evidence has been widely applied in the field of information fusion under uncertainty. Most existing research focuses on combining evidence within the same frame of discernment. However, in real-world scenarios, trained algorithms or data often originate from different regions or organizations, where data silos are prevalent. As a result, using different data sources or models to generate basic probability assignments may lead to heterogeneous frames, for which traditional fusion methods often yield unsatisfactory results. To address this challenge, this study proposes an open-world information fusion method, termed Full Negation Belief Transformation (FNBT), based on the Dempster-Shafer theory. More specially, a criterion is introduced to determine whether a given fusion task belongs to the open-world setting. Then, by extending the frames, the method can accommodate elements from heterogeneous frames. Finally, a full negation mechanism is employed to transform the mass functions, so that existing combination rules can be applied to the transformed mass functions for such information fusion. Theoretically, the proposed method satisfies three desirable properties, which are formally proven: mass function invariance, heritability, and essential conflict elimination. Empirically, FNBT demonstrates superior performance in pattern classification tasks on real-world datasets and successfully resolves Zadeh's counterexample, thereby validating its practical effectiveness.
Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。