This paper proposes a new multiattribute decision making (MADM) method based on the proposed score function of connection numbers (CNs) and the set pair analysis (SPA) theory in the interval-valued intuitionist fuzzy (IVIF) context. Firstly, we develop a score function for ranking CNs. The various notable characteristics of the proposed score function of CNs are also presented. Then, we propose a new MADM method based on interval-valued intuitionist fuzzy values (IVIFVs), the proposed score function of CNs and the SPA theory, where we convert IVIFVs into CNs and the optimal weights of attributes are calculated from the IVIF weights of attributes. Finally, the proposed MADM method is applied for MADM in the IVIF context, where the preference orders (POs) of the alternatives obtained by the proposed MADM method are compared with the ones obtained by the existing MADM methods. The proposed MADM method can overcome the drawbacks of the existing MADM methods.

本文基于区间值直觉模糊（IVIF）上下文中提出的连接数（CN）得分函数和集对分析（SPA）理论，提出了一种新的多属性决策方法（MADM）。首先，我们开发了用于对CNs进行排名的得分函数。还提出了CNs得分函数的各种显着特征。然后，我们提出了一种基于区间值直觉模糊值（IVIFV），提出的CN得分函数和SPA理论的MADM新方法，其中将IVIFV转换为CN，并根据IVIF权重计算属性的最佳权重属性。最后，将所提出的MADM方法应用于IVIF上下文中的MADM，将通过提议的MADM方法获得的备选方案的优先顺序（PO）与通过现有MADM方法获得的备选方案的优先顺序进行比较。所提出的MADM方法可以克服现有MADM方法的缺点。