This paper aims to offer an intuitionistic triangular fuzzy group decision making method by preference relations. For this purpose, the concept of intuitionistic triangular fuzzy preference relations (ITFPRs) is first offered. Then, an additive consistency concept for ITFPRs is introduced. Meanwhile, a programming model is built to check the consistency of ITFPRs. Considering the case where incomplete ITFPRs are obtained, two programming models are constructed, which aim at maximizing the consistency and minimizing the uncertainty of missing information. To achieve the goals of the minimum total adjustment and the smallest number of adjusted elements, two programming models are established to repair inconsistent ITFPRs. In addition, the weights of decision makers are considered, and the consensus levels of individual ITFPRs are studied to ensure the representativeness of decision results. When individual ITFPRs do not meet the consensus requirement, a programming model to reach the consensus threshold is constructed, which permits different intuitionistic triangular fuzzy variables (ITFVs) to have different adjustments and minimizes the total adjustment. Finally, a group decision making algorithm with ITFPRs is proposed, and its feasibility and efficiency are demonstrated through an example of evaluating the intelligent traditional Chinese medicine decocting centers.

本文旨在通过偏好关系提供一种直观的三角模糊群决策方法。为此，首先提供直觉三角模糊偏好关系（ITFPR）的概念。然后，介绍了ITFPR的附加一致性概念。同时，建立了一个编程模型来检查ITFPR的一致性。考虑获得不完整ITFPR的情况，构建了两个编程模型，其目的是最大程度地提高一致性并最大程度地减少丢失信息的不确定性。为了实现最小的总调整量和最少的调整要素数量，建立了两种编程模型来修复不一致的ITFPR。此外，还要考虑决策者的权重，并研究了单个ITFPR的共识水平，以确保决策结果的代表性。当单个ITFPR不满足共识要求时，将构建一个达到共识阈值的编程模型，该模型允许不同的直觉三角模糊变量（ITFV）具有不同的调整并使总调整最小化。最后，提出了一种基于ITFPR的群体决策算法，并通过对智能中药煎药中心的评价实例证明了其可行性和有效性。允许不同的直觉三角模糊变量（ITFV）进行不同的调整，并使总调整最小化。最后，提出了一种基于ITFPR的群体决策算法，并通过对智能中药煎药中心的评价实例证明了其可行性和有效性。允许不同的直觉三角模糊变量（ITFV）进行不同的调整，并使总调整最小化。最后，提出了一种基于ITFPR的群体决策算法，并通过对智能中药煎药中心的评价实例证明了其可行性和有效性。