The hesitant fuzzy linguistic term set is an effective tool to express qualitative evaluations since it is close to human reasoning and expressing habits. In this paper, we propose a multi-expert multi-criterion decision-making method integrating the double normalization-based multi-aggregation (DNMA) method with a cardinal consensus reaching process, where the assessments of alternatives over multiple criteria are expressed as hesitant fuzzy linguistic term sets. To do so, the DNMA method involving double normalizations and three aggregation tools is extended to deal with the hesitant fuzzy linguistic information and derive the ranking of alternatives with respect to each expert. In addition, a cardinal consensus reaching process is introduced to help experts reach an acceptable consensus level. In other words, the soft consensus is considered in the multi-expert multi-criterion decision-making process. Subsequently, an extended Borda rule is developed to aggregate the subordinate ranks and integrated scores of alternatives, and then deduce the comprehensive ranking of alternatives. A case study is given to illustrate the practicability of the proposed method for selecting the optimal geographical location of a larger-scale shopping mall in the new urbanization for a construction investment agency. The proposed method is compared with other ranking methods to illustrate its advantages.

中文翻译：

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商场选择地点的带有共识的犹豫模糊DNMA方法。

犹豫的模糊语言术语集是表达定性评估的有效工具，因为它与人类的推理和表达习惯非常接近。本文提出了一种将基于双重归一化的多重聚合（DNMA）方法与基本共识达成过程相结合的多专家多准则决策方法，其中对多个标准的备选方案的评估表示为犹豫模糊语言术语集。为此，对涉及双重归一化和三个聚合工具的DNMA方法进行了扩展，以处理犹豫不定的模糊语言信息，并得出每个专家的备选方案排名。此外，引入了基本共识达成过程，以帮助专家达到可接受的共识水平。换一种说法，在多专家多标准决策过程中考虑软共识。随后，开发了扩展的Borda规则以汇总备选方案的从属等级和综合得分，然后推论备选方案的综合排名。案例研究表明，该方法可为建设投资机构选择新型城市化中大型购物中心的最佳地理位置。将该方法与其他排名方法进行比较，以说明其优势。案例研究表明，该方法可为建设投资机构选择新型城市化中大型购物中心的最佳地理位置。将该方法与其他排名方法进行比较，以说明其优势。案例研究表明，该方法可为建设投资机构选择新型城市化中大型购物中心的最佳地理位置。将该方法与其他排序方法进行比较，以说明其优势。