基于三维密度算子的群体DEMATEL 指标权重确定方法

A New Index Weights Calculation Method of Group DEMATEL Based on Three-dimensional Density Operator

针对现有DEMATEL指标权重确定方法大多基于个体决策,且未考虑群体决策评价标度不一致的情况,提出一种新的基于三维密度算子的群体DEMATEL指标权重确定方法。首先,定义了不同评价标度的转换函数,以此将群体DEMATEL矩阵进行一致化处理;其次,给出一种群体DEMATEL矩阵的聚类方法,在此基础上利用三维密度算子对其进行集结;最后,依据DEMATEL方法识别出指标的中心度和原因度,并计算各指标的权重。文末通过一个应用实例验证了所提方法的可行性与有效性。实例结果表明,该方法由于能够较好解决群体决策评价标度不一致的问题,还能够充分考虑群体决策的共识度,因此可使指标权重结果更为客观合理且更为可靠。

In the face of some complex multiple-index comprehensive evaluation problems, the casual influence relationships among indexes are universal phenomenon and make some distinct effects for the rank of alternatives, and therefore decision-making trial and evaluation laboratory(DEMATEL) is given to eliminate these adverse effects at the process of evaluating the alternatives. DEMATEL is a widely applied method to determine the index weights by analyzing the casual influence relationships among indexes, and has attracted considerable attention from domestic and overseas experts and scholars in recent years. However, So far the methods of index weights based DEMATEL are mostly applicable to individual decision making, and do not consider evaluation scales are inconsistent under group decision making. To overcome this kind of defects, a new index weights calculation method of group DEMATEL based on three-dimensional density operator is proposed. Firstly, a transformation function of different evaluation scales is defined, which can convert inconsistent evaluation scales to single evaluation scale under group DEMATEL. Secondly, a cluster method of group DEMATEL matrix is given, on this basis, it is aggregated by three-dimensional density operator. Finally, the centre degree and cause degree of index is determined by using DEMATEL method, and the index weights is calculated. One exact example is used to illustrated the feasibility and validity of the proposed method. The results show that the index weights is reasonable and reliable as it can solve group decision making’s inconsistent evaluation scales and consider group decision making’s consensus degree. The study of the traditional DEMATEL method is expanded under individual decision making, and an important reference and guidance is provided for solving the problem of DEMATEL under group decision making in this paper.