当前位置: X-MOL 学术Appl. Intell. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
A new distance-based total uncertainty measure in Dempster-Shafer evidence theory
Applied Intelligence ( IF 3.4 ) Pub Date : 2021-05-18 , DOI: 10.1007/s10489-021-02378-3
Rongfei Li , Zhiyuan Chen , Hao Li , Yongchuan Tang

Uncertainty measure in Dempster-Shafer (D-S) evidence theory is crucial to assess the quality of information conveyed by belief structures. Most of the previous studies consider this issue from the perspective of viewing the D-S evidence theory as a generalization of probability theory. However, the inconsistency between D-S evidence theory and probability theory may lead to some limitations to existing measures. Deng et al proposed an improved total uncertainty measure which is directly based on D-S evidence theory. In their measure, the belief structures are transformed to belief interval which is constructed by the belief function and plausibility function of a proposition. Inspired by the previous research, a new total uncertainty measure (NTU) is proposed in this paper. The proposed measure is based on the Euclidean distance between the belief interval of the singleton subset and the most uncertain interval. It not only retains the properties and advantages of the previous measure, but also presents a higher sensitivity and greater extent to the change of evidences. Some numerical examples, practical applications and related analyses are used to verify the rationality and sensitivity of the proposed measure.



中文翻译:

Dempster-Shafer证据理论中基于距离的新不确定性度量

Dempster-Shafer(DS)证据理论中的不确定性度量对于评估由信念结构传达的信息的质量至关重要。以前的大多数研究都是从将DS证据理论视为概率论的概括的角度来考虑这个问题的。但是,DS证据理论和概率理论之间的不一致可能会导致对现有度量的某些限制。邓等人提出了一种改进的总不确定度测量方法,该方法直接基于DS证据理论。在他们的量度中,信念结构被转换为信念区间,该信念区间由命题的信念函数和似然函数构造。受之前的研究启发,提出了一种新的总不确定度测量法(N T U)是本文提出的。所提出的度量基于单子集的置信区间与最不确定区间之间的欧几里得距离。它不仅保留了先前措施的特性和优势,而且对证据的变更也表现出更高的敏感性和更大程度。通过数值算例,实际应用和相关分析,验证了该方法的合理性和敏感性。

更新日期:2021-05-18
down
wechat
bug