Development of a Method in Evaluation and Adjustment for Consistency of Group Decision-making Based on Grey Relational Analysis and Its Application in Evaluation of New Rural Economic Building Materials

In this paper, grey relational analysis (GRA) was used in consistency test of group judgment matrixes. The evaluation indicator weight was obtained through the judgment matrix calculated with expert evaluating method in analytical hierarchy process (AHP). The judgment method and the adjustment process for consistency of group judgment matrixes were studied. First, the consistency indicators were put forward, and then the definitions and the theorems of consistency indicators in the judgment method were defined based on GRA. Then the theorems were given proof A method using GRA to judge the consistency of group judgment matrixes was proposed for the first time. Second, adjustment modeling was developed to solve the consistency of group judgment matrixes. Finally, the applications of the judgment method and the adjustment process have been illustrated by given example. It is believed that the proposed methods are applicable to test consistency of evaluation indicators of new rural economic building materials.