As a complicated cognitive process, multi-attribute decision-making usually focuses on the decision-making issue of seeking the optimal alternative or ranking alternatives under the framework of multiple attributes. The three-way decision approach with the delayed decision can more effectively reduce decision risks than traditional two-way counterparts for multi-attribute decision-making. In this article, we aim to put forward a novel three-way multi-attribute decision-making model in light of a probabilistic dominance relation with intuitionistic fuzzy sets. First, we investigate the three-way multi-attribute decision-making in light of a probabilistic dominance relation in an intuitionistic fuzzy information system. Second, we derive the conditional probability of the intuitionistic fuzzy set. Third, we evaluate the part supplier selection via the constructed model. At last, for the sake of showing the validity and applicability of the constructed three-way intuitionistic fuzzy multi-attribute decision-making model, we further perform extensive comparative analysis along with experimental analysis from diverse perspectives.

多属性决策作为一个复杂的认知过程，通常侧重于在多属性框架下寻求最优选择或对备选方案进行排序的决策问题。对于多属性决策，具有延迟决策的三向决策方法比传统的双向决策更有效地降低决策风险。在本文中，我们旨在根据直觉模糊集的概率优势关系，提出一种新颖的三向多属性决策模型。首先，我们根据直觉模糊信息系统中的概率优势关系研究了三向多属性决策。其次，我们推导出直觉模糊集的条件概率。第三，我们通过构建的模型评估零件供应商的选择。最后，为了展示所构建的三向直觉模糊多属性决策模型的有效性和适用性，我们进一步从不同角度进行了广泛的对比分析和实验分析。