论动态直觉模糊数的灰色关联多属性决策方法

Grey Correlation of Multiple Attribute Decision Making Method Based on Dynamic Intuitionistic Fuzzy Numbers

针对直觉模糊数随时间变化的影响,研究了时间权重和属性权重完全未知的直觉模糊数的多属性决策问题,结合灰色关联分析法定义了相对关联系数和相对关联度.首先由logistic曲线模型得到时间权重确定公式,根据每个方案的属性与理想解的距离,构造相对关联系数矩阵,建立多目标规划模型来确定属性的权重,并根据相对关联度的大小对方案进行排序;最后,通过实例分析说明该算法可行,且择优区分度更好.

For the situation that intuitionistic fuzzy numbers change as time , the paper investigates the problem of multi‐attribute decision making ,in w hich the attribute values are intuitionistic fuzzy numbers and the weights of attribute and time information is complete unknow n .Relative correlation coefficient and relative correlation degree are defined based on the Grey correlation analysis method .Firstly ,the time weight determination formulas based on the logistic model .By using the distance between attribute and ideal solution formed a matrix of relative correlation coefficient ,the model of multi‐attribute decision making is constructed , thereby the weights of attribute is determined .Furthermore ,the relative correlation degree of each scheme is computed , then scheme is ranked based on the relative correlation degree . Finally ,the example analysis show s the feasibility of the method ,and using our scheme can obtain much better merit‐based discrimination .