Modified Method in Group Comparison Matrixes Consistency Check and its Application in Building Material Evaluation

Abstract

The comparison matrixes are obtained from decision makers might be contradictory, moreover an modified check method is proposed. Grey relational analysis (GRA) is adopted in group comparison matrixes consistency check for the first time. Firstly, the consistency indicators are put forward and are defined the definitions depending on GRA. Secondly, adjustment model is proposed to solve the group comparison matrixes inconsistency. Finally, the modified consistency check method are application in building material evaluation. It is believed that the proposed method is applicable to check consistency of building material evaluation.