In this paper, we define the compatibility of finite intuitionistic fuzzy relations with the group Zn and prove some of their fundamental properties. We show that some compositions of Zn-compatible intuitionistic fuzzy relations are also Zn-compatible intuitionistic fuzzy relation. Also, from any given finite intuitionistic fuzzy relation ρ, we can construct two intuitionistic fuzzy relations denoted by ρL and ρU which are compatible with Zn. We have also provided some examples to clarify the notions and results.

中文翻译：

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与群 Zn 相容的直觉模糊关系

在本文中，我们定义了有限直觉模糊关系与群 Zn 的兼容性，并证明了它们的一些基本性质。我们证明了锌相容直觉模糊关系的一些组合也是锌相容直觉模糊关系。此外，从任何给定的有限直觉模糊关系 ρ，我们可以构造两个与 Zn 兼容的由 ρL 和 ρU 表示的直觉模糊关系。我们还提供了一些示例来阐明概念和结果。