区间信息下的大规模群体DEMATEL决策方法  

Large-scale group DEMATEL decision making method under interval information

作　　者：王伟明 徐海燕[1] 朱建军[1] WANG Weiming;XU Haiyan;ZHU Jianjun(School of Economics and Management,Nanjing University of Aeronautics and Astronautics,Nanjing 211106,China)

机构地区：[1]南京航空航天大学经济与管理学院,南京211106

出　　处：《系统工程理论与实践》2021年第6期1585-1597,共13页Systems Engineering-Theory & Practice

基　　金：国家自然科学基金(71971115,71701097,61673209);江苏省自然科学基金(BK20170777)。

摘　　要：针对现有区间数DEMATEL决策方法大多适用于中小规模群体,且未考虑区间数具有正态分布特征的情况,提出一种新的区间信息下的大规模群体DEMATEL决策方法.首先,给出一种群体区间数DEMATEL矩阵的聚类方法,并对大规模群体DEMATEL评分进行分组;其次,在三维区间密度算子的基础上,对大规模群体DEMATEL评分进行集结;最后,提出一种改进的基于区间数DEMATEL的指标权重确定方法,并进行多属性决策.文末通过一个算例验证了所提方法的有效性与合理性.算例分析表明,该方法不仅能够较好解决具有正态分布特征的区间数DEMATEL决策问题,还能够充分考虑大规模群体决策的共识度,因此使得决策结果更为客观合理且更为可靠.So far the interval DEMATEL decision making methods are more suitable for small and medium-sized group,and do not consider the interval number with normal distribution information.To overcome this kind of defects,a new large-scale group DEMATEL decision making method under interval information is proposed.Firstly,a cluster method of group interval DEMATEL matrix is given,which can make a proper cluster for large-scale group DEMATEL evaluation information.Secondly,the threedimensional density operator is defined,which is used to aggregate large-scale group DEMATEL evaluation information.Finally,a new improved method based on interval DEMATEL is proposed,which is applied to solve the multiple attribute decision making.One numeral example is used to illustrated the effectiveness and rationality of the proposed method.The results show that the decision making is reasonable and reliable as it not only can solve the problem of interval DEMATEL with normal distribution information,but also can fully consider large-scale group decision making’s consensus degree.

关 键 词：多属性决策 大规模 群体DEMATEL 三维区间密度算子 正态分布 

分 类 号：C934[经济管理—管理学]