Abstract Group emergency decision-making (GEDM) method based on cumulative prospect theory has been widely concerned by scholars, but few of them have paid attention to the heterogeneous references points (HRPs) of decision-makers (DMs) caused by their emotions. In addition, hesitant fuzzy sets are often used to cope with incomplete information in GEDM, but where the exiting distance formulas used cannot keep fuzziness of the original decision information and retain the hesitancy of DMs. Therefore, an extended GEDM method is proposed. First, the GEDM problem is described and the relevant decision information is represented in the form of hesitant fuzzy numbers. Second, a quantitative model is given to describe the HRPs of DMs caused by their emotions and a new hesitant fuzzy distance formula is proposed. Then, the scenario values of alternatives and the decision weights of scenarios are calculated, and the comprehensive values of alternatives are calculated. Further, an optimal model is established to obtain weights of DMs, and based on which the weighted values of alternatives are calculated to obtain the ranking of alternatives. Finally, a case study and the comparison with other methods are carried out to demonstrate the effectiveness of the proposed method.

中文翻译：

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具有决策者异构参考点和新的犹豫模糊距离公式的扩展GEDM方法

摘要 基于累积前景理论的群体应急决策（GEDM）方法受到了学者们的广泛关注，但很少有人关注决策者（DMs）情绪引起的异质参考点（HRPs）。此外，在GEDM中经常使用犹豫模糊集来处理不完整信息，但所使用的现有距离公式不能保持原始决策信息的模糊性，保留了DM的犹豫性。因此，提出了一种扩展的 GEDM 方法。首先描述GEDM问题，将相关决策信息以犹豫模糊数的形式表示。其次，给出了一个量化模型来描述由他们的情绪引起的 DM 的 HRP，并提出了一个新的犹豫模糊距离公式。然后，计算方案的方案值和方案的决策权重，计算方案的综合值。进一步建立最优模型获取DMs的权重，并在此基础上计算备选方案的权重，得到备选方案的排序。最后，通过案例研究和与其他方法的比较来证明所提出方法的有效性。