A complex Pythagorean fuzzy set, an extension of Pythagorean fuzzy set, is a powerful tool to handle two dimension phenomenon. Dombi operators with operational parameters have outstanding flexibility. This article presents certain aggregation operators under complex Pythagorean fuzzy environment, including complex Pythagorean Dombi fuzzy weighted arithmetic averaging (CPDFWAA) operator, complex Pythagorean Dombi fuzzy weighted geometric averaging (CPDFWGA) operator, complex Pythagorean Dombi fuzzy ordered weighted arithmetic averaging (CPDFOWAA) operator and complex Pythagorean Dombi fuzzy ordered weighted geometric averaging (CPDFOWGA) operator. Moreover, this paper explores some fundamental properties of these operators with appropriate elaboration. A decision‐making numerical example related to the selection of bank to purchase loan is given to demonstrate the significance of our proposed approach. Finally, a comparative analysis with existing operators is given to demonstrate the peculiarity of our proposed operators.

中文翻译：

---

聚合算子的复杂毕达哥拉斯Dombi模糊算子及其决策

复杂的勾股模糊集是勾股模糊集的扩展，是处理二维现象的有力工具。具有操作参数的Dombi操作员具有出色的灵活性。本文介绍了复杂毕达哥拉斯模糊环境下的某些聚合算子，包括复杂毕达哥拉斯Dombi模糊加权算术平均值（CPDFWAA）算子，复杂毕达哥拉斯Dombi模糊加权几何平均算子（CPDFWGA）算子，复杂毕达哥拉斯Dombi模糊有序加权算术平均算术（CPDFOWAA）和复杂的毕达哥拉斯Dombi模糊有序加权几何平均（CPDFOWGA）运算符。此外，本文还通过适当的阐述探索了这些算子的一些基本属性。给出了与选择银行购买贷款有关的决策数值示例，以证明我们提出的方法的重要性。最后，与现有运营商进行比较分析，以证明我们建议的运营商的特殊性。