A quantitative and intuitive materials selection multi-attribute decision-making method based on quadrant circular constellation graph

摘要

Traditional constellation graphical method maps a multidimensional data into a 2D graph. In this paper, the drawback of the traditional semi-circular constellation graph is considered and a quadrant circular constellation graph is proposed to overcome the drawback. Moreover, a new materials selection MADM (multi-attribute decision making) method is proposed based on the quadrant circular constellation graph. This method is applied to select the best magnesium alloy material for automotive wheels. The numerical and graphical results show that AZ91 is the optimal material among the alternative materials such as AZ91, AM60, AM50, AZ31, ZE41, EZ33, ZE63 and ZC63. The result is compared with the results from the previous MADM methods from the viewpoint of Spearman’s rank correlation and deviation. Additionally, a sensitivity analysis to attribute weights is performed to test the robustness of the proposed method. Experimental results demonstrate that the proposed method is superior to the previous MADM methods. The proposed method is not only quantitative but also intuitive method. It could be widely used to materials selection problems in engineering practice.