The aggregation of multi-source information can be realized by means of the ordered representation of polygonal fuzzy sets and their linear operations, especially the ordered representation plays an important role in multi-attribute decision analysis. An intuitionistic fuzzy set is not only a generalization of traditional fuzzy set, but also can overcome some defects of fuzzy phenomena described by binary logic. In this paper, we first propose the ordered representation and its arithmetic operations of n-intuitionistic polygonal fuzzy sets (n-IPFS) based on the idea of equidistant dissection, and give a method to solve the ordered representation of n-IPFS through an example. Secondly, a mathematical linear function describing multi-source information of modern smart city is given through an ordered representation of n-IPFS, a new normalization method and calculation formula are proposed for the intuitionistic polygonal decision matrix. Then, by using n-IPFS arithmetic operations the aggregation method of weighted average operator and geometric average operator of multi-source information is given. Finally, the effectiveness of the proposed method is verified by aggregating multi-source information, and thus an intuitionistic fuzzy set and polygonal fuzzy set are unified and applied to decision-making problem of multi-source information of modern smart cities.

多源信息的聚集可以通过多边形模糊集及其线性运算的有序表示来实现，特别是有序表示在多属性决策分析中起着重要的作用。直觉模糊集不仅是对传统模糊集的概括，而且可以克服二进制逻辑所描述的模糊现象的某些缺陷。本文首先基于等距剖分的思想提出了n直观多边形模糊集（n -IPFS）的有序表示及其算术运算，并给出了求解n的有序表示的方法。-IPFS通过一个示例。其次，通过n -IPFS的有序表示，给出了描述现代智能城市多源信息的数学线性函数，为直觉多边形决策矩阵提出了一种新的归一化方法和计算公式。然后，通过使用n- IPFS算术运算，给出了多源信息的加权平均算子和几何平均算子的聚合方法。最后，通过汇总多源信息验证了所提方法的有效性，从而将直觉模糊集和多边形模糊集统一起来，应用于现代智慧城市多源信息的决策问题。