In the multi-criteria decision-making (MCDM) process, decision-makers with different risk attitudes may have different decision results. To address this issue and present decision-makers’ mentality, this paper introduces two mentality parameters. These parameters reflect the decision-makers’ risk attitudes in determining the membership and non-membership degrees of the evaluation information. In addition, the parameters demonstrate the risk attitude in terms of the hesitancy degree under interval-valued intuitionistic fuzzy information. Then, a new score function of interval-valued intuitionistic fuzzy numbers (IVIFNs) is proposed that uses the introduced mentality parameters. Meanwhile, certain properties of the proposed score function are discussed. Furthermore, the weighted comprehensive score value of IVIFNs is introduced, and an MCDM method is developed in an interval-valued intuitionistic fuzzy environment. Finally, a numerical example and comparative analyses are provided to illustrate the feasibility and effectiveness of the proposed method.

在多准则决策（MCDM）过程中，具有不同风险态度的决策者可能会有不同的决策结果。为了解决这个问题和当前决策者的心理，本文介绍了两个心理参数。这些参数反映了决策者在确定评估信息的隶属度和非隶属度时的风险态度。此外，这些参数还根据区间值直觉模糊信息下的犹豫程度证明了风险态度。然后，提出了一种新的使用区间值直觉模糊数（IVIFN）的得分函数，该函数使用引入的心理参数。同时，讨论了所提出的得分函数的某些性质。此外，还介绍了IVIFN的加权综合评分值，在区间值直觉模糊环境中开发了MCDM方法。最后，通过数值算例和比较分析说明了该方法的可行性和有效性。