This article intends to study the dynamic hybrid multi-attribute decision making (DHMADM) process, where the choice information is given in two-scale intuitionistic fuzzy numbers (IFNs) as well as interval-valued intuitionistic fuzzy numbers (IVIFNs) by the decision-makers (DMs) at distinct periods. We have contributed some new dynamic weighted aggregation operators (AOs), namely dynamic intuitionistic fuzzy Dombi weighted average (DIFDWA), weighted geometric (DIFDWG) operators, and uncertain dynamic intuitionistic fuzzy Dombi weighted average (UDIFDWA), weighted geometric (UDIFDWG) operators for interval uncertainty. Next, we have obtained the aggregated data by using these dynamic Dombi operators. Then, we apply two grey relational analysis (IF-GRA and IVIF-GRA) approach on the aggregated matrix to obtain the overall grey relational degree for each option from positive and negative ideal (PIA and NIA) alternative. Then, we evaluate each choice’s relative relational degree from the positive to get the final rank. Finally, we demonstrate the proposed model with a numerical example to compare the proposed model for applicability and validity.

本文旨在研究动态混合多属性决策（DHMADM）过程，其中选择信息以两尺度直觉模糊数（IFN）以及区间值直觉模糊数（IVIFN）给出，其决策方法如下：制造商（DM）。我们贡献了一些新的动态加权聚合算子（AO），即动态直觉模糊Dombi加权平均值（DIFDWA），加权几何（DIFDWG）算子和不确定动态直觉模糊Dombi加权平均值（UDIFDWA），加权几何（UDIFDWG）算子区间不确定性。接下来，我们通过使用这些动态Dombi运算符获得了聚合数据。然后，我们在汇总矩阵上应用两种灰色关联分析（IF-GRA和IVIF-GRA）方法，以从正负理想（PIA和NIA）替代方案中获得每个选项的总体灰色关联度。然后，我们从正数评估每个选择的相对关系度，以获得最终排名。最后，我们用数值例子证明了所提出的模型，以比较所提出的模型的适用性和有效性。