关键词:灰色关联分析; 超效率数据包络分析; 权重; 多属性决策; 空置商品房
MCDM model based on gray correlation analysis andsuper-efficiency DEA
LI Ling1, LIU Jian-yong1, FU Cheng-qun1, WU Zhong-jun1,2
(1. Engineering Institute of Engineering Corps, PLA University of Science & Technology, Nanjing 210007, China; 2. Command & Engineering Institute of Chemical Defense, Beijing 102205, China)
Abstract:In view of the defect that the weights of multiple criteria decision making (MCDM) are hard to determine objectively, this paper proposed a hybrid model combined gray correlation analysis with super-efficiency DEA (data envelopment analysis). On the basis of gray correlation analysis, it calulated the point correlation degree of each criterion. In order to obtain relative optimal gray correlation degree of each criterion and rank them completely, suggested the super-efficiency DEA method. The hybrid model could ascertain the weight vector more objectively. It broke through the constraint that the sum of each weight vector was equal to 1, thus the homogeneous weight could be more flexible. The improved model could lead to relative optimal gray correlation degree of each criterion. Super-efficiency DEA could enhance the discernment ability as well. It stu-died the influence factors of vacant commercial housing in Beijing city.The results show that the correlation order of influence factors. The numerical example illustrates the availability and efficiency of the hybrid model. ......