This paper mainly discusses three points. First of all, four kinds of intuitionistic similarities based on implication operator and the corresponding logical metric spaces are constructed. Secondly, from the perspective of perturbation parameters, different intuitionistic similarities are compared and analyzed by means of topological method. Finally, the applications of similarities are shown. On the one hand, the constructed similarities are used to solve a pattern recognition problem. On the other hand, the robustness of the Triple I method of intuitionistic reasoning is analyzed by adopting the constructed similarity as the disturbance parameter.

中文翻译：

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直觉模糊集的相似性及其应用

本文主要讨论三点。首先，构造了基于蕴涵算子的四种直觉相似性和相应的逻辑度量空间。其次，从扰动参数的角度，通过拓扑方法对不同的直觉相似性进行比较分析。最后，显示了相似性的应用。一方面，构建的相似性用于解决模式识别问题。另一方面，采用构造的相似度作为扰动参数，分析了直觉推理的Triple I方法的鲁棒性。