In the second part of our paper, we explore antisymmetry of fuzzy orders. We provide a unifying definition of antisymmetry, which generalizes three existing variants of antisymmetry examined in the literature, along with the corresponding generalized definition of fuzzy order. We prove that all the particular instances of the generalized definition, which include the three basic ones, are mutually equivalent. We also examine distinctive properties of the three basic notions of fuzzy order.

中文翻译：

---

论模糊阶的概念二：反对称性

在本文的第二部分中，我们探讨了模糊阶的反对称性。我们提供了反对称的统一定义，它概括了文献中研究的反对称的三种现有变体，以及模糊顺序的相应广义定义。我们证明了广义定义的所有特定实例（包括三个基本实例）是相互等价的。我们还研究了模糊顺序的三个基本概念的独特属性。