With the excessive consumption and pollution of water resources, the sustainable development of water resources poses a serious threat currently. How to perceive and prevent the degradation of water resource in advance is an urgent problem. The water resource carrying capacity (WRCC) is a significant indicator to reflect the condition of water resources in a region. Resounding to these circumstances, our research establishes a decision support framework to solve WRCC risk evaluation issues. First, hesitant probabilistic fuzzy sets (HPFSs) are selected as a representation for the evaluation information in the expert group. Aimed at existing studies of HPFSs, some limitations are overcome involving the distance and comparison rule. Secondly, a TODIM-PROMETHEE II based multi-criteria group decision making (MCGDM) method is developed to overcome the inherent restrictions of PROMETHEE II method and make it suitable for a practical decision-making condition with bounded rationality. Subsequently, a case study is utilized to demonstrate the feasibility of our newly proposed decision support framework, followed by a sensitivity analysis and a comparison analysis. The outcome indicates that the framework has an excellent performance to solve this kind of MCGDM issues.

中文翻译：

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带有不确定信息的扩展TODIM-PROMETHEE II方法，用于解决水资源承载力的潜在风险评估问题

随着水资源的过度消耗和污染，水资源的可持续发展目前构成严重威胁。如何预先感知和防止水资源的退化是一个紧迫的问题。水资源承载力（WRCC）是反映该地区水资源状况的重要指标。针对这些情况，我们的研究建立了一个决策支持框架来解决WRCC风险评估问题。首先，选择犹豫的概率模糊集（HPFS）作为专家组中评估信息的表示。针对现有的HPFS研究，克服了一些限制，包括距离和比较规则。第二，为了克服PROMETHEE II方法的固有局限性，使其适合具有有限合理性的实际决策条件，开发了一种基于TODIM-PROMETHEE II的多准则组决策方法。随后，通过案例研究来证明我们新提出的决策支持框架的可行性，然后进行敏感性分析和比较分析。结果表明该框架具有出色的性能，可以解决此类MCGDM问题。