In this paper, we define the concept of Pythagorean fuzzy point. We define a similarity measure between Pythagorean fuzzy points, and we give an application of this similarity measure in pattern recognition. We also introduce a new type of continuity for the functions defined between two Pythagorean fuzzy topological spaces. Moreover, we introduce the concept of Moore–Smith convergence in Pythagorean fuzzy topological space, and we investigate the relationship between convergence of nets and continuity.

中文翻译：

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勾股线模糊点及其在模式识别和勾股线模糊拓扑中的应用

在本文中，我们定义了勾股模糊点的概念。我们定义了勾股模糊点之间的相似性度量，并给出了该相似性度量在模式识别中的应用。我们还为在两个毕达哥拉斯模糊拓扑空间之间定义的函数引入了一种新型的连续性。此外，我们介绍了勾股模糊拓扑空间中的Moore-Smith收敛概念，并研究了网络收敛与连续性之间的关系。