Qi Xiao-Wen, Zhang Jun-Ling, Zhao Shu-Ping, Liang Chang-Yong
School of Business Administration, Zhejiang University of Finance & Economics, Hangzhou 310018, China.
School of Economics and Management, Zhejiang Normal University, Jinhua 321004, China.
Int J Environ Res Public Health. 2017 Oct 2;14(10):1165. doi: 10.3390/ijerph14101165.
In order to be prepared against potential balance-breaking risks affecting economic development, more and more countries have recognized emergency response solutions evaluation (ERSE) as an indispensable activity in their governance of sustainable development. Traditional multiple criteria group decision making (MCGDM) approaches to ERSE have been facing simultaneous challenging characteristics of decision hesitancy and prioritization relations among assessing criteria, due to the complexity in practical ERSE problems. Therefore, aiming at the special type of ERSE problems that hold the two characteristics, we investigate effective MCGDM approaches by hiring interval-valued dual hesitant fuzzy set (IVDHFS) to comprehensively depict decision hesitancy. To exploit decision information embedded in prioritization relations among criteria, we firstly define an fuzzy entropy measure for IVDHFS so that its derivative decision models can avoid potential information distortion in models based on classic IVDHFS distance measures with subjective supplementing mechanism; further, based on defined entropy measure, we develop two fundamental prioritized operators for IVDHFS by extending Yager's prioritized operators. Furthermore, on the strength of above methods, we construct two hesitant fuzzy MCGDM approaches to tackle complex scenarios with or without known weights for decision makers, respectively. Finally, case studies have been conducted to show effectiveness and practicality of our proposed approaches.
为了防范影响经济发展的潜在平衡破坏风险,越来越多的国家已认识到应急响应解决方案评估(ERSE)是其可持续发展治理中不可或缺的活动。由于实际ERSE问题的复杂性,传统的用于ERSE的多准则群体决策(MCGDM)方法面临着决策犹豫和评估准则间优先关系的同时挑战特性。因此,针对具有这两个特性的特殊类型的ERSE问题,我们通过采用区间值对偶犹豫模糊集(IVDHFS)来全面描述决策犹豫,研究有效的MCGDM方法。为了挖掘准则间优先关系中嵌入的决策信息,我们首先为IVDHFS定义一种模糊熵测度,以便其衍生的决策模型能够避免基于具有主观补充机制的经典IVDHFS距离测度的模型中潜在的信息失真;进一步地,基于所定义的熵测度,我们通过扩展Yager的优先算子为IVDHFS开发两种基本的优先算子。此外,基于上述方法,我们构建了两种犹豫模糊MCGDM方法,分别用于处理决策者权重已知或未知的复杂情形。最后,通过案例研究展示了我们所提方法的有效性和实用性。