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奇异值衡量证据冲突的新方法

         

摘要

Evidence theory is widely used in decision-level information fusion .However ,there are also some problems to be solved .For instance ,how to measure the conflict between two bodies of evidence is still an open issue .Thus ,a new method with good behaviors to measure conflict is proposed .Different bodies of evidence are described as a BPA matrix whose properties are studied afterwards .Considering the properties of singular values of such a BPA matrix ,the smaller one is chosen to measure the con-flict .The effectiveness of the proposed method is illustrated by some examples .%证据理论被广泛应用于决策级信息融合,但还存在一定问题有待解决,例如证据冲突的合理衡量仍未得到妥善处理。针对已有方法的不足,提出一种新的衡量方法,将不同的证据表示成BPA矩阵的形式,借助矩阵的性质对冲突进行研究。根据BPA矩阵奇异值的特点,提出以其最小奇异值衡量证据冲突。算例表明了所提方法的有效性。

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