关于时间序列相似性概念体系的探讨与研究

通过分析高维空间的欧氏几何距离关系并对相似性定义进行拓展，提出了一种新的时间序列相似性概念体系，即以相似性函数和变换约束函数共同描述两个序列的相似关系．在这种概念体系中，相似性只能是某种相似性函数和变换函数约束下的相似，客观的相似性结果依赖于相似性函数和变换函数的主观选取．新的相似性概念体系可以涵盖以往各种相似性定义，不同定义可以看作相似性比较中所关注的不同方面的特征或性质．

Study of the conception of the similarity in time series

By analyzing the Euclidean distance function and its extension, the conception of the similarity in time series describing the relationship of similarity with a uniform similarity function and transformation function was proposed. In the new conception, the similarity existed based on the similarity function and the transformation function. Impersonal result of similarity analysis depended on the subjective selection of the similarity function and the transformation function. The new conceptions can explain all the past definitions and different definitions can be regarded as the features and characters in different areas.