As an extension of intuitionistic fuzzy sets, picture fuzzy sets can deal with vague, uncertain, incomplete and inconsistent information. The similarity measure is an important technique to distinguish two objects. In this study, a similarity measure between picture fuzzy sets based on relationship matrix is proposed. The new similarity measure satisfies the axiomatic definition of similarity measure. It can be testified from a numerical experiment that the new similarity measure is more effective. Finally, we apply the proposed similarity measure to multiple-attribute decision making. PDF  XML

中文翻译：

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图片模糊集的一种新的相似度量及其在多属性决策中的应用

作为直觉模糊集的扩展，图片模糊集可以处理模糊，不确定，不完整和不一致的信息。相似性度量是区分两个对象的重要技术。本文提出了一种基于关系矩阵的图片模糊集之间的相似度度量方法。新的相似性度量满足相似性度量的公理定义。可以通过数值实验证明新的相似性度量更为有效。最后，我们将拟议的相似性度量应用于多属性决策。PDF XML