犹豫模糊语言多属性决策灰关联分析方法及其应用

Grey Relational Analysis of Multiple Attributes Decision-making with Hesitant Fuzzy Linguistic Information and Its Application

以区域金融生态环境评价问题为研究对象,提出一种新的融合方法;针对犹豫模糊语言术语集,结合灰色关联分析理论,提出犹豫模糊语言灰色关联度的概念,并基于离差最大化原理给出最优化模型,对各属性进行客观赋权;最后用实例验证了其有效性和可行性,突破了传统的灰色关联分析法应用于区间属性的决策问题,研究了更模糊且更贴近现实的语言评价环境,该方法不仅能够充分利用原始评价数据,且能减少不必要的信息损失。

By taking regional financial ecological environment assessment as the research object,this paper proposes a new fusion method,based on hesitant fuzzy linguistic term sets,by combining grey correlation analysis theory,puts forward the concept of hesitant fuzzy linguistic grey relevancy,based on the principle of deviation maximization,constructs the maximizing model to receive objective weights of attributions,and finally uses a numerical example to verify the effectiveness and feasibility of the model. The advantage of this model is to break through the traditional grey correlation analysis applied to decision-making of interval attributions and is more vague and closer to realistic linguistic assessment environment. The method can not only make full use of original assessment data but also reduce unnecessary loss of information.