Abstract: The scientific and technological innovation capabilities of different provinces and cities in China are quite different. Comprehensive evaluation and analysis of provincial scientific and technological innovation capabilities are conducive to a more comprehensive and targeted understanding of different regional differences and put forward more effective policy recommendations for balanced and coordinated regional development. Firstly, this paper constructs the evaluation index system of scientific and technological innovation ability from four aspects: innovation input, innovation output, innovation carrier, and innovation environment; Secondly, using the method of combining subjectivity and objectivity, the indicators are weighted to reflect the importance of different indicators on scientific and technological innovation capability; Finally, the paper uses the grey weight clustering method to analyze the scientific and technological innovation capacity of 31 provinces and cities mainland from 2010 to 2020. The study found that there are significant geographical differences in China's scientific and technological innovation capabilities. The provinces and cities with strong scientific and technological innovation capabilities are mainly Beijing, Shanghai, Jiangsu, Zhejiang, and Guangzhou, which can enhance the scientific and technological innovation capabilities of surrounding provinces and cities through regional synergy.  

Key words: Scientific and Technological Innovation Capability, Evaluation Index System, Grey Fixed Weight Clustering Model