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首页> 外文期刊>Applied Intelligence: The International Journal of Artificial Intelligence, Neural Networks, and Complex Problem-Solving Technologies >A new multiple attribute decision making method for selecting design schemes in sponge city construction with trapezoidal interval type-2 fuzzy information
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A new multiple attribute decision making method for selecting design schemes in sponge city construction with trapezoidal interval type-2 fuzzy information

机译：一种新的多个属性决策方法，用于用梯形间隔 - 2模糊信息选择海绵城市建设中的设计方案

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摘要

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.
机译：选择海绵城市建设中最合适的设计方案可以被视为多个属性决策（MADM）问题。为了表达不确定和模糊的决策信息，间隔类型-2模糊集（IT2FSS）是有用的工具。本文侧重于梯形间隔类型2模糊数（TIT2FNS）的决策，并探讨了海绵城市建设中市政道路设计方案的评价。为此，首先定义基于Hamacher T-Norm和T-Conorm的TIT2FNS上的几种操作，其中考虑了隶属度和八个非负真实值的操作。然后，提出了两种（2添加剂）广义福利梯形间隔类型-2模糊丸丸子组成部分算子，其全球反映了元素之间的相互作用。考虑到所知的决策加权信息不完整的情况，分别构建了用于获得最佳模糊测量和2-添加剂测量的基于曼哈顿距离测量的模型。此外，开发了一种梯形间隔2模糊MADM的方法。最后，提供了一个实际的例子以说明新方法的利用率，提供比较分析。

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