一种基于区间灰色梯形模糊数的多属性群决策方法

A Multi-attribute Group Decision Making Method Based on Interval Grey Trapezoidal Fuzzy Numbers

针对属性权重未知,属性值为区间灰色梯形模糊数的多属性群决策问题,提出了一种改进的灰色关联决策方法.首先,定义了区间灰色梯形模糊数的概念并建立了区间灰色梯形模糊数的相关运算规则以及区间灰色梯形模糊数之间的距离;然后,采用算术加权平均算法将个体信息集结群信息,基于信息熵建立了指标权重的求解模型,并采用灰色关联方法对方案进行排序;最后,通过实例说明了本方法的有效性.

A new improved grey relational analysis method is proposed to solve multi-attribute group decision-making problems, of which the attribute values take the form of interval grey trape-zoidal fuzzy numbers and the attribute weights are unknown. Firstly, concepts of interval grey trape-zoidal fuzzy numbers are defined, then operation rules and the distance between two interval grey trapezoidal fuzzy numbers are established. Secondly, the evaluation information of each expert is ag- gregated into the group information by an arithmetic weighted average method,and a mathematical model is constructed to solve the attribute weight based on entropy weight. Furthermore,the rank-ing order of alternatives is determined by grey relational analysis method. Finally,a practical exam-ple is given to demonstrate the effectiveness of our method.