In this paper, Bonferroni mean (BM) and Dombi $t$-conorms and $t$-norms (D $t$-CN& $t$-Ns) are combined under dual hesitant $q$-rung orthopair fuzzy (DH $q$-ROF) environment to produce DH $q$-ROF-Dombi BM, weighted Dombi BM, Dombi geometric BM, and Dombi weighted geometric BM aggregation operators (AOs). Using these operators, the decision making processes would become more flexible and also would possess the capabilities of capturing interrelationships among input arguments under imprecise decision making environments. Apart from those, a large number of AOs either already developed or not yet developed may also be derived from the proposed AOs. In the process of developing the AOs, some operational laws of DH $q$-ROF numbers based on D $t$-CN& $t$-Ns are defined first. Several important properties of the developed operators are discussed. The proposed AOs are used to frame a new methodology to solve multicriteria group decision making problems under DH $q$-ROF contexts. Several illustrative examples are solved to demonstrate effectiveness and benefits of the developed method. Sensitivity analysis is performed to show the variations of ranking values with the change of different parameters in the decision making contexts. Finally, the introduced method is compared with several existing techniques to establish superiority and effectiveness of the proposed method.

中文翻译：

---

用于解决多准则群决策问题的基于双犹豫 q-rung orthopair 模糊 Dombi t-conorm 和 t-norm 的 Bonferroni 均值算子

在本文中，Bonferroni 均值 (BM) 和 Dombi $吨$-conorms 和 $吨$-规范（D $吨$-CN& $吨$-Ns) 在双重犹豫下结合 $q$-梯级正畸模糊（DH $q$-ROF) 环境产生 DH $q$-ROF-Dombi BM、加权 Dombi BM、Dombi 几何 BM 和 Dombi 加权几何 BM 聚合算子 (AO)。使用这些运算符，决策过程将变得更加灵活，并且还具有在不精确的决策环境下捕获输入参数之间相互关系的能力。除此之外，大量已经开发或尚未开发的AOs也可能来自拟议的AOs。在开发AO的过程中，DH的一些操作规律$q$-基于 D 的 ROF 数字 $吨$-CN& $吨$-Ns首先定义。讨论了开发算子的几个重要属性。提议的 AO 用于构建一种新方法，以解决 DH 下的多标准群决策问题$q$-ROF 上下文。解决了几个说明性示例，以证明所开发方法的有效性和好处。执行敏感性分析以显示排名值随决策上下文中不同参数的变化的变化。最后，将所介绍的方法与几种现有技术进行比较，以确定所提出方法的优越性和有效性。