Quantitative analysis of the cities´ innovation capacity based on grey variable weight clustering

Clustering analysis of innovation capacity in a region can be helpful to formulate targeted economic development strategies. Grey variable weight clustering can solve practical clustering problems whose weights of clustering indexes can´t be available in advance. Aiming at the problem that the clustering results of grey variable weight clustering don´t correspond with the reality in two papers, the reason is analyzed in this paper, and a new kind of whitenization weight function is reconstructed, which is proved to satisfy normative and doesn´t exist triplet crossing. Solution of the new grey variable weight clustering is given in the paper. At last, 13 cities in Jiangsu province are clustered according to their innovation capacity. The example is helpful for Jiangsu province to coordinate economic development and improve urban competitiveness. showing the effectiveness and operability of the method in this paper.