Abstract: Considering the limitations of traditional method and the character of Dezert-Smarandache（DSm） theory, this paper presents the angle similarity method based on hyper-power set as the quantitative analysis of similarity measurement of evidence. The method considers evidence as vector to compare the angle cosine for the measurement of conflict between evidence. The new method is able to use in any models of DS and DSm theory. Computer simulations demonstrate the validity and applicability of the rule proposed.

Key words: Dezert-Smarandache theory, hyper-power set, conflict evidence, angle similarity

摘要： 针对传统证据间冲突大小判定方法的不足，结合DSm理论的特点，提出了超幂集下的角度相似度的证据冲突判定方法。该方法将证据看做向量，比较两条证据向量之间的角度余弦来判断两条证据间的相似程度，不仅能在Shafer模型下使用，而且还能在混合DSm模型和自由DSm模型下使用。实例分析验证了方法的有效性和适应性。

关键词: DSm理论, 超幂集, 证据冲突, 角度相似度