To significantly and reasonably enhance the individual consistency and group consensus in group best-worst method (GBWM) under interval-valued intuitionistic multiplicative environment, this study proposes a strategy of consensus and consistency improving considering bounded confidence. Firstly, based on the consistency definition of interval-valued intuitionistic multiplicative preference relations (IVIMPRs), the consistency definition for interval-valued intuitionistic multiplicative reference comparison relations (IVIMRCRs) is proposed. Subsequently, a two-stage consistency improving optimization model is constructed. Then, an interactively iterative consistency improving algorithm considering bounded confidence is designed. For GBWM with IVIMRCRs, the concept of consensus measure is first defined to assess the consensus level among individual IVIMRCRs, and then a two-stage consensus improving optimization model considering bounded confidence is constructed. Additionally, based on the above theories and models, an interactively iterative consensus improving algorithm considering bounded confidence and consistency management is designed for GBWM with IVIMRCRs. Finally, the practicality and effectiveness of the proposed GBWM are verified through an actual application case and simulation analyses. Meanwhile, the advantages of this method are explained through comparative analyses with the existing BWMs and group decision making (GDM) with IVIMPRs.

中文翻译：

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考虑有限置信度的群体区间直觉乘法最佳最差方法的共识与一致性改进策略

为了显着合理地增强区间值直觉乘法环境下群体最佳-最差方法（GBWM）中的个体一致性和群体共识，本研究提出了一种考虑有界置信度的共识和一致性改进策略。首先，基于区间直觉乘性偏好关系（IVIMPRs）的一致性定义，提出区间直觉乘性参考比较关系（IVIMRCRs）的一致性定义。随后，构建了两阶段一致性改进优化模型。然后，设计了一种考虑有界置信度的交互式迭代一致性改进算法。对于带有 IVIMRCR 的 GBWM，首先定义共识度量的概念来评估各个 IVIMRCR 之间的共识水平，然后构建考虑有界置信度的两阶段共识改进优化模型。此外，基于上述理论和模型，针对具有IVIMRCR的GBWM设计了一种考虑有限置信度和一致性管理的交互式迭代共识改进算法。最后，通过实际应用案例和仿真分析验证了所提出的GBWM的实用性和有效性。同时，通过与现有BWM和IVIMPR的群体决策（GDM）的比较分析，说明了该方法的优点。