Although a single-valued neutrosophic multi-valued set (SVNMVS) can reasonably and perfectly express group evaluation information and make up for the flaw of multi-valued/hesitant neutrosophic sets in group decision-making problems, its information expression and group decision-making methods still lack the ability to express and process single- and interval-valued hybrid neutrosophic multi-valued information. To overcome the drawbacks, this study needs to propose single- and interval-valued hybrid neutrosophic multi-valued sets (SIVHNMVSs), correlation coefficients of consistency interval-valued neutrosophic sets (CIVNSs), and their multi-attribute group decision-making (MAGDM) method in the setting of SIVHNMVSs. First, we propose SIVHNMVSs and a transformation method for converting SIVHNMVSs into CIVNSs based on the mean and consistency degree (the complement of standard deviation) of truth, falsity and indeterminacy sequences. Then, we present two correlation coefficients between CIVNSs based on the multiplication of both the correlation coefficient of interval-valued neutrosophic sets and the correlation coefficient of neutrosophic consistency sets and two weighted correlation coefficients of CIVNSs. Next, a MAGDM method is developed based on the proposed two weighted correlation coefficients of CIVNSs for performing MAGDM problems under the environment of SIVHNMVSs. At last, a selection case of landslide treatment schemes demonstrates the application of the proposed MAGDM method under the environment of SIVHNMVSs. By comparative analysis, our new method not only overcomes the drawbacks of the existing method, but also is more extensive and more useful than the existing method when tackling MAGDM problems in the setting of SIVHNMVSs.

单值中智多值集（SVNMVS）虽然可以合理完美地表达群评价信息，弥补了多值/犹豫中智集在群决策问题中的缺陷，但其信息表达和群决策方法仍然缺乏表达和处理单值和区间值混合中智多值信息的能力。为了克服这些缺点，本研究需要提出单值和区间值混合中智多值集（SIVHNMVSs）、一致性区间值中智集相关系数（CIVNSs）及其多属性群决策（MAGDM） ) 方法在 SIVHNMVS 的设置中。第一的，我们提出了 SIVHNMVS 和一种基于真、假和不确定序列的均值和一致性程度（标准差的补）将 SIVHNMVS 转换为 CIVNS 的转换方法。然后，我们基于区间值中智集的相关系数和中智一致性集的相关系数与 CIVNS 的两个加权相关系数的乘积，给出了 CIVNS 之间的两个相关系数。接下来，基于所提出的 CIVNS 的两个加权相关系数开发了一种 MAGDM 方法，用于在 SIVHNMVS 环境下执行 MAGDM 问题。最后，滑坡治理方案的选择案例展示了所提出的 MAGDM 方法在 SIVHNMVS 环境下的应用。通过对比分析，