Picture fuzzy set is a generalization of intuitionistic fuzzy set, which can describe fuzzy, uncertain, incomplete and inconsistent information. Similarity measure is a technique used to evaluate the degree of similarity between picture fuzzy sets. Although there are some similarity measures between picture fuzzy sets, some of them cannot meet the axiomatic definition of similarity measure, or there are some unreasonable situations when distinguishing different picture fuzzy information. In order to overcome these defects, a new similarity measure based on the three constituent functions of picture fuzzy sets is proposed in this paper. Through a numerical example and some pattern recognition experiments, the effectiveness and superiority of the proposed similarity measure are verified.

图片模糊集是直觉模糊集的概括，可以描述模糊，不确定，不完整和不一致的信息。相似度度量是一种用于评估图片模糊集之间的相似度的技术。尽管图片模糊集之间存在一些相似性度量，但是其中一些不能满足相似性度量的公理定义，或者在区分不同的图片模糊信息时存在一些不合理的情况。为了克服这些缺陷，提出了一种基于图像模糊集的三个构成函数的新的相似性度量。通过数值算例和一些模式识别实验，验证了所提出的相似性度量的有效性和优越性。