In this manuscript, the theory of constant picture fuzzy graphs (CPFG) is developed. A CPFG is a generalization of constant intuitionistic fuzzy graph (CIFG) and a special case of picture fuzzy graph (PFG). Additionally, the article includes some basic definitions of CPFG such as totally constant picture fuzzy graphs (TCPFGs), constant function, bridge of CPFG, and their related results. Also, an application of CPFG in Wi-Fi network system is discussed. Finally, a comparison of CPFG is established with that of the CIFG which exhibits the superiority of the proposed idea over the existing ones is discussed.

中文翻译：

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图片模糊信息的某些概念及其应用

在此手稿中，发展了恒定图片模糊图（CPFG）的理论。CPFG是常量直觉模糊图（CIFG）的概括，也是图片模糊图（PFG）的特例。此外，本文还包含CPFG的一些基本定义，例如完全恒定的图片模糊图（TCPFG），恒定函数，CPFG的桥接及其相关结果。此外，还讨论了CPFG在Wi-Fi网络系统中的应用。最后，建立了CPFG与CIFG的比较，讨论了所提出的构想优于现有构想的构想。