Research on Multi-Criteria Decision Based on Bidirectional Grey Relation Projection Method

Abstract

There are many comprehensive efficiency evaluation problems in socioeconomic system, which are also taken as grey multi-criteria decision problems. Based on grey system theory and vector projection theorem, the grey relation projection method combines module with angle cosine to fully reveal the close degree of multiple decision schemes and the ideal scheme. Grey relation projection method considers spatial influences of factor indexes and is applicable to the situation of small sample and discrete data. However, traditional grey relation projection method can not solve the problem of sorting schemes with the same projection. On account of TOPSIS method, this paper studies bidirectional grey relation multi-criteria decision method on the basis of positive and negative ideal points from the perspective of vector projection, and constructs a bidirectional grey relation projection close degree calculating model. Analysis on application example shows that the method put forward in this paper has preferable feasibility and rationality.