Pythagorean Fuzzy Set is a generalization of the Intuitionistic Fuzzy Set. Therefore, in real-life problems for uncertainty, the decision-making mechanism in Pythagorean Fuzzy Sets outcomes better than Intuitionistic Fuzzy Set decision-making. For undefined objects, Soft Set is a new approach. Pythagorean Fuzzy Soft Set is deriving with the combination of Pythagorean Fuzzy Set and Soft Set. In this work, we will define the Pythagorean Fuzzy Parametrized Pythagorean Fuzzy Soft Set(Ω-Soft Set) and investigate some properties of the new set. The domain of the parameter function given in the new definition is a complete lattice. Selecting the domain of the Ω as a complete lattice allows us to solve some problems in the definitions and operations of the subset, union, and intersection. Besides, for Ω-Soft Set and other related concepts, we will present the decision-making problem solution as an application.

勾股模糊集是直觉模糊集的推广。因此，在存在不确定性的现实问题中，毕达哥拉斯模糊集的决策机制要好于直觉模糊集决策。对于未定义的对象，“软设置”是一种新方法。毕达哥拉斯模糊软集合是毕达哥拉斯模糊集合和软集合的组合。在这项工作中，我们将定义毕达哥拉斯模糊参数化毕达哥拉斯模糊软集合（Ω-SoftSet），并研究新集合的一些属性。新定义中给出的参数函数的域是一个完整的晶格。选择Ω的域作为完整晶格可以使我们解决子集，并集和交集的定义和运算中的一些问题。此外，对于Ω-SoftSet和其他相关概念，