面向区域绿色修复水平评价的概率犹豫Fermatean模糊拓展MULTIMOORA方法

Probabilistic hesitant Fermatean fuzzy extension MULTIMOORA method for evaluation of regional green restoration level

绿色发展是高质量发展的重要组成部分,绿色修复是当前可持续发展的必要环节,如何科学评判绿色修复水平已成为一项重要工作,评价过程中的复杂性和不确定性为提升绿色修复水平带来了挑战.对此,在概率犹豫Fermatean模糊环境下,提出拓展MULTIMOORA方法以开发一种面向区域绿色修复水平评价的框架.采用概率犹豫Fermatean模糊集(PHFFS)表达综合评价信息值,通过Dombi运算融合Choquet积分几何算子(PHFFDCIG)聚合评价信息比其他运算方法更合适,可以通过调整参数增强信息聚合的灵活性.然后,将传统MULTIMOORA方法子系统中的参照点法和完全乘法形式进行完善,并结合Choquet积分和改进Borda规则,提出一种PHFFSMULTIMOORA方法对区域绿色修复水平评价指标间的相互作用进行建模,从而捕获其重要性权重,综合确定区域绿色修复水平的优先级.最后,通过长江经济带沿线5省市绿色修复水平评价的案例分析研究和灵敏度分析测试有效验证所建立模型框架的准确性、有效性和实用性.

Green development is an integral part of high-quality development, and green restoration is an essential part of current sustainable development. How to evaluate the level of green restoration scientifically has become an important task. Complexity and uncertainty in the evaluation process bring challenges. Based on this, in the context of probabilistic hesitant Fermatean fuzzy environment, this paper proposes to develop a framework for regional green restoration level evaluation by extending the MULTIMOORA method. The probabilistic hesitant Fermatean fuzzy set(PHFFS) is used to express the comprehensive evaluation information value. The evaluation information aggregated by the Dombi Choquet integral geometric operator(PHFFDCIG) is more qualified than other operational methods, and the flexibility of information aggregation can be enhanced by adjusting the parameters. Then, the reference point and full multiplication form method in the subsystem of the traditional MULTIMOORA method is improved. Combined with Choquet integral and improved Borda rules, an improved PHFFS-MULTIMOORA method is proposed to model the interaction between the evaluation indicators of the regional green repair level, so as to capture the weight of its importance to determine the priority of the green repair level in the area. Finally, the case study and sensitivity analysis test of green restoration level evaluation in five provinces and cities along the Yangtze River Economic Belt verify the accuracy, effectiveness and practicability of the established model framework.