Selecting the most suitable design scheme in sponge city construction can be seen as a multiple attribute decision-making (MADM) problem. To express the uncertain and fuzzy decision-making information, interval type-2 fuzzy sets (IT2FSs) are useful tools. The paper focuses on decision making with trapezoidal interval type-2 fuzzy numbers (TIT2FNs) and discusses the evaluation of municipal road design schemes in sponge city construction. To do these, several operations on TIT2FNs based on Hamacher t-norm and t-conorm are first defined, where both the operations on the membership degree and on eight non-negative real values are considered. Then, two (2-additive) generalized Shapley trapezoidal interval type-2 fuzzy Hamacher Choquet integral operators are presented, which globally reflect interactions among elements. Considering the case where the decision-making weighting information is incomplete known, Manhattan distance measure-based models for obtaining the optimal fuzzy measure and 2-additive measure are constructed, respectively. Furthermore, an approach for trapezoidal interval type-2 fuzzy MADM is developed. Finally, a practical example is provided to illustrate the utilization of the new method, and comparison analysis is provided.

在海绵城市建设中选择最合适的设计方案可以看作是多属性决策（MADM）问题。为了表达不确定性和模糊决策信息，区间2型模糊集（IT2FS）是有用的工具。本文着重于梯形区间2型模糊数（TIT2FNs）的决策，并讨论了海绵城市建设中市政道路设计方案的评估。为此，首先定义基于Hamacher t-范数和t-conorm的TIT2FN的几个运算，其中考虑隶属度和八个非负实数值的运算。然后，提出了两个（2加法）广义Shapley梯形区间2型模糊Hamacher Choquet积分算子，它们整体上反映了元素之间的相互作用。考虑到决策权重信息不完整的情况，分别构建了基于曼哈顿距离测度的模型，用于获得最优模糊测度和2加性测度。此外，提出了一种梯形区间2型模糊MADM方法。最后，提供一个实例说明该方法的应用，并提供了比较分析。