An extension of fuzzy sets (Zadeh in Inf Control 8:338–353, 1965) and intuitionistic fuzzy sets (Atanassov in Fuzzy Sets Syst 20(1):87–96, 1986) is called picture fuzzy set (PFS). It is a useful tool to deal with uncertain and inconsistent information. The distance, entropy and similarity measures play a critical role in information theory. The similarity measures of picture fuzzy sets caused by entropy have been studied and given interesting results. In this paper, we first introduced the concept of entropy measure of PFS. At the same time, we also investigated some similarity measures induced by entropy measures and applied to propose the multi-criteria decision-making problem for selecting suppliers.

中文翻译：

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基于熵的图片模糊集相似度度量及其在MCDM中的应用

模糊集（Inf Control中的Zadeh，8：338-353，1965）和直觉模糊集（Atanassov，模糊集Syst 20（1）：87-96，1986）的扩展被称为图片模糊集（PFS）。这是处理不确定和不一致信息的有用工具。距离，熵和相似性度量在信息论中起着至关重要的作用。研究了由熵引起的图片模糊集的相似性度量，并给出了有趣的结果。在本文中，我们首先介绍了PFS的熵测度的概念。同时，我们还研究了由熵测度引起的一些相似度测度，并提出了选择供应商的多准则决策问题。