基于灰色关联分析的犹豫模糊多属性决策研究

Method for Hesitant Fuzzy Multi-attribute Decision Making Based on Grey Correlation Analysis

针对属性值为犹豫模糊元的决策问题,提出一种基于灰色关联分析的多属性决策方法.首先,依据犹豫模糊的交叉熵得到属性模糊熵矩阵,从而确定属性的权重,并采用灰色关联度模型对决策属性间的相互关联度进行分析,得到属性间的灰色关联矩阵;采用最小关联度原则将矩阵标准化,得到有效的无关联矩阵,然后对属性权重进行调整,得到更合理的属性权重分配;最后,基于灰色关联分析得到各方案与理想方案的关联度,与权重相乘得到方案的排序,并通过算例分析表明该方法的有效性.

A decision method based on grey correlation analysis is proposed for multi-attribute decision making ,in which the attribute values are in the form of hesitant fuzzy elements. Firstly ,Based on the hesitant fuzzy cross-entropy fuzzy entropy matrix is got,so as to determine the weights of attributes. We use the grey correlation model to analyze the relationship between the decision attributes,and the grey correlation matrix between attributes is obtained. The principle of minimal correlation is used to standardize the matrix,and the effective no-correlation matrix is gained. Then the weights of attributes are adjusted to make attribute weight distribution more reasonable. Finally ,the weighted similarity degres of every alternative with ideal points are displayed to rank all the alternatives. An example is given to illustrate the effectiveness of proposed method.