Quantum Group Decision Making Method With Linguistic Z-Numbers Based on Trust Network
针对不确定社会网络群决策中信息模糊和信任路径动态干扰问题，提出一种基于语言Z数表示并考虑量子干涉效应的模糊群决策模型，通过动态信任更新和量子干涉计算决策者权重，优化属性权重后排序备选方案，以应急响应案例验证了模型的有效性。
To address the fuzziness of information and the dynamic interference among trust paths in the uncertain social network group decision-making (SN-GDM) environment, this article evaluates information based on the linguistic Z-numbers (LZNs) representation and proposes a fuzzy group decision-making model considering quantum interference effects. First, the model updates trust relationships through a dynamic trust transfer process and incorporates quantum interference among trust paths to compute the comprehensive trust degree of each decision-maker (DM), which is then transformed into the corresponding DMs’ weights. The interference angle is measured by the quantum gate transform and quantum Fourier transform (QFT). Second, an optimization model is constructed by integrating the distance relationship between DMs’ psychological pReferences and evaluation information to determine the optimal attributes’ weights. On this basis, the scores of the alternatives are calculated and ranked. Finally, a case study on emergency response is conducted to verify the feasibility and effectiveness of the proposed model, followed by a sensitivity analysis of the rotation angle parameter and the information transmission discount factor, as well as a comparative analysis with existing decision-making models. The results demonstrate that the proposed model not only possesses strong applicability and computational efficiency but also accurately characterizes the progressive transmission process of trust relationships and enables efficient measurement of quantum interference effects.