The recently proposed interval-valued q-rung dual hesitant fuzzy sets (IVq-RDHFSs) allow the possible membership degrees and non-membership degrees to be denoted by some series of interval values, which can effectively deal with decision makers’ (DMs’) hesitancy in multiple attribute decision-making (MADM) process. The purpose of this paper is to propose a new decision-making method under IVq-RDHFSs. First, by pointing out the drawback of existing score function of interval-valued q-rung dual hesitant fuzzy element (IVq-RDHFE), a new score function is proposed. Second, to effectively aggregate IVq-RDHFEs this paper proposes the interval-valued q-rung dual hesitant fuzzy power Hamy mean operator and the interval-valued q-rung dual hesitant fuzzy power weighted Hamy mean operator. Compared with existing aggregation operators of IVq-RDHFEs, the newly proposed operators can not only deal with the complicated interrelationship among attributes, but also felicitously handle DMs’ unreasonable evaluation information. Hence, our operators are suitable to deal with practical MADM problems. Third, a new MADM method is presented based on the proposed operators, and the main steps are clearly demonstrated. Lastly, we conduct case study to show the effectiveness of our proposed method.

最近提出的间隔值q阶双重犹豫模糊集（IVq-RDHFS）可以用一系列间隔值表示可能的隶属度和非隶属度，这可以有效地应对决策者（DMs）多属性决策（MADM）过程中的犹豫。本文的目的是提出一种基于IVq-RDHFS的新决策方法。首先，指出了区间值q级双犹豫模糊元（IVq-RDHFE）现有得分函数的缺点，提出了一种新的得分函数。其次，为了有效地汇总IVq-RDHFE，提出了区间值q-阶双犹豫模糊功率加权Hamy平均算子和区间值q-阶双犹豫模糊功率加权Hamy均值算子。与现有的IVq-RDHFE聚合运营商相比，新提出的运营商不仅可以处理属性之间复杂的相互关系，还可以恰当地处理DM的不合理评估信息。因此，我们的运营商适合处理实际的MADM问题。第三，基于提出的算子，提出了一种新的MADM方法，并明确说明了主要步骤。最后，我们进行案例研究以证明所提出方法的有效性。