基于余弦距离和信息熵的冲突证据融合算法

Ziyang Chen Ziyang Chen, Yang Zhang Ziyang Chen
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引用次数: 0

摘要

在处理高冲突证据时,传统的证据理论有时存在一定的局限性,导致与常识相悖的融合结果。为了解决高冲突证据融合问题,分析了传统证据理论,提出了余弦距离与信息熵相结合的证据融合方法。余弦距离可以测量两个矢量之间的方向性。方向性越好,两个向量越相似。因此,本文使用余弦距离来确定证据之间的相似度,然后计算每条证据的可信度。信息熵可以计算每个证据的信息量。信息熵越大,证据的不确定性就越大。因此,本文采用信息熵来衡量证据的不确定性。然后,融合证据的可信度和不确定性,计算出证据的权重。然后利用d-s证据理论进行证据融合。算例表明,该方法在处理冲突证据方面是可行和有效的。
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Conflict Evidence Fusion Algorithm Based on Cosine Distance and Information Entropy
Dealing with high conflict evidence, traditional evidence theory sometimes has certain limitations, and results in fusion results contrary to common sense. In order to solve the problem of high conflict evidence fusion, this paper analyzes traditional evidence theory and proposes an evidence fusion method that combines cosine distance and information entropy. Cosine distance can measure the directionality between two vectors. The better the directionality, the more similar the two vectors are. Therefore, this article uses cosine distance to determine the similarity between evidences, and then calculates the credibility of each piece of evidence. Information entropy can calculate the amount of information for each evidence. The greater the information entropy, the greater the uncertainty of the evidence. Therefore, this article uses information entropy to measure the uncertainty of the evidence. Then, the credibility and uncertainty of the evidence are fused to calculate the weight of the evidence. Then we use d-s evidence theory for evidence fusion. The numerical example shows that the method is feasible and effective in dealing with conflict evidence.  
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