The aim of this study is to propose a novel multi-criteria group decision-making method using analytic hierarchy process and hesitant probabilistic fuzzy linguistic set to model uncertainties due to both fuzziness and randomness. The proposed multi-criteria group decision-making method first uses analytic hierarchy process to construct decision preference matrix. Then, it uses hesitant probabilistic fuzzy linguistic set to model both types of uncertainties with hesitancy using both qualitative and quantitative terms. The proposed decision-making method is applied to determine the ranking of three Indian states for business climate and potential using real criteria information from State’s investment potential index. Since success or failure of real estate investment decisions depends on the assessment and management of the inherent risk and uncertainty, the proposed method is applied on a real estate investment problem and results are compared with a group consensus model for evaluating real estate investment alternatives.

中文翻译：

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犹豫概率模糊语言集的层次分析法及其在多准则群决策中的应用

本研究的目的是提出一种使用层次分析层次结构和犹豫的概率模糊语言集的多准则群决策方法，以对由于模糊性和随机性引起的不确定性进行建模。提出的多准则群决策方法首先采用层次分析法构造决策偏好矩阵。然后，它使用犹豫的概率模糊语言集使用质性和定量项对具有犹豫性的两种类型的不确定性进行建模。拟议的决策方法用于使用来自该州投资潜力指数的真实标准信息来确定三个印度州在商业环境和潜力方面的排名。