In this paper, a new method based on TOPSIS and optimization models is proposed for multi-attribute group decision-making in the environment of interval-valued intuitionistic fuzzy sets.Firstly, by minimizing the sum of differences between individual evaluations and the overallconsistent evaluations of all experts, a new optimization model is established for determining expert weights. Secondly, based on TOPSIS method, the improved closeness index for evaluating each alternative is obtained. Finally, the attribute weight is determined by establishing an optimization model with the goal of maximizing the closeness of each alternative, and it is brought into the closeness index so that the alternatives can be ranked. Combining all these together, the complete fuzzy multi-attribute group decision-making algorithm is formulated, which can give full play to the advantages of subjective and objective weighting methods. In the end, the feasibility and effectiveness of the provided method are verified by a real case study.

翻译：本文提出了一种基于TOPSIS和优化模型的新方法，用于区间值直觉模糊集环境下的多属性群决策。首先，通过最小化个体评价与所有专家整体一致评价之间的差异之和，建立了一个确定专家权重的新优化模型。其次，基于TOPSIS方法，得到了评估各备选方案的改进贴近度指标。最后，通过建立以最大化各备选方案贴近度为目标的优化模型来确定属性权重，并将其代入贴近度指标，从而实现对备选方案的排序。综合上述步骤，形成了完整的模糊多属性群决策算法，该算法能够充分发挥主客观赋权方法的优势。最后，通过一个实际案例验证了所提方法的可行性和有效性。