This article aims to develop a novel hybrid multi‐attribute group decision‐making approach under interval‐valued intuitionistic fuzzy sets (IVIFS) by integrating variable weight, correlation coefficient, and technique for order performance by similarity to an ideal solution (TOPSIS). First, experts give their evaluation in IVIFS, and then the weighting evaluation matrix is computed based on interval‐valued intuitionistic fuzzy weighted averaging operator with the subjective attribute weights given in advance. Second, a simple and useful weighting approach on the basis of correlation coefficient is put forward to obtain the experts weights. Third, we treat the attribute weights as a varying vector, and then propose a variable weighting approach for its acquisition. Fourth, an individual decision can be converted to an alternative decision by considering the experts and attributes weights together. At last, the integrated assessment value of each alternative is computed by TOPSIS, and then the most appropriate alternative is chosen. Two illustrative examples dealt with the problem by the method presented in this article demonstrate the usefulness of this approach, compared with those by the other methods.

中文翻译：

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区间直觉模糊集下多属性群决策的变权混合方法

本文旨在通过集成可变权重、相关系数和通过与理想解的相似性 (TOPSIS) 获得订单性能的技术，在区间值直觉模糊集 (IVIFS) 下开发一种新的混合多属性群决策方法。首先，专家在IVIFS中给出评价，然后基于预先给定主观属性权重的区间直觉模糊加权平均算子计算加权评价矩阵​​。其次，提出了一种基于相关系数的简单实用的加权方法来获得专家权重。第三，我们将属性权重视为一个变化的向量，然后为其获取提出一种可变加权方法。第四，通过同时考虑专家和属性权重，可以将单个决策转换为替代决策。最后通过TOPSIS计算各备选方案的综合评价值，选择最合适的备选方案。与其他方法相比，本文中介绍的方法处理问题的两个说明性示例证明了该方法的有效性。