In this study, we introduce The p, q-quasirung orthopair fuzzy Dombi operators, including p, q-quasirung orthopair fuzzy Dombi weighted averaging (p, q-QOFDWA), p, q-quasirung orthopair fuzzy Dombi ordered weighted averaging (p, q-QOFDOWA), p, q-quasirung orthopair fuzzy Dombi weighted geometric (p, q-QOFDWG), and p, q-quasirung orthopair fuzzy Dombi ordered weighted geometric (p, q-QOFDOWG) operators. These operators effectively manage imprecise and uncertain information, outperforming other fuzzy sets like the Pythagorean fuzzy set (PFS) and q-rung orthopair fuzzy set (q-ROFS). We investigate their properties, including boundedness and monotonicity, and demonstrate their applicability in multiple criteria decision-making (MCDM) problems within a p, q-quasirung orthopair fuzzy (p, q-QOF) environment. To showcase the practicality, we present a real-world scenario involving the selection of investment alternatives as an illustrative example. Our findings highlight the significant advantage and potential of these operators for handling uncertainty in decision-making.

中文翻译：

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p、q-拟正对模糊集下基于dombi聚合算子的多准则群决策

在本研究中，我们引入了p，q-quasirung正交对模糊Dombi算子，包括p，q-quasirung正交对模糊Dombi加权平均（p，q-QOFDWA），p，q-quasirung正交对模糊Dombi有序加权平均（p，q-quasirung正交对模糊Dombi有序加权平均） q-QOFDOWA)、p, q-quasirung 正交对模糊 Dombi 加权几何 (p, q-QOFDWG) 和 p, q-quasirung 正交对模糊 Dombi 有序加权几何 (p, q-QOFDOWG) 算子。这些算子有效地管理不精确和不确定的信息，优于其他模糊集，例如毕达哥拉斯模糊集（PFS）和q-rung正交模糊集（q-ROFS）。我们研究了它们的属性，包括有界性和单调性，并证明了它们在 ap、q-quasirung 正对模糊 (p, q-QOF) 环境中的多标准决策 (MCDM) 问题中的适用性。为了展示实用性，我们提出了一个涉及投资选择选择的现实场景作为说明性示例。我们的研究结果凸显了这些运营商在处理决策不确定性方面的显着优势和潜力。