Abstract
In this paper, we use the Entropy Weight Method (EWM) to calculate the weights and TOPSIS Algorithm to calculate the score. Then, we made a preliminary comparison between the results of the two systems. Then, in order to obtain precise relation, we use Grey Correlation Analysis to reflect the correlation between variables. By comparing the grey correlation coefficient between different years and different countries, it is concluded that the correlation between GGDP and climate is higher than GDP. Due to the nature of cross-sectional data, we introduce time series data for the exploration of long-term trend. Through establishing the Grey System Prediction GM (1,1) model based on the grey system theory, we forecast GDP and GGDP of different countries from 2020 to 2024 which is based on the data from 2010-2019. We use multiple linear regression to predict carbon emissions, and present the results with the change trend of carbon emissions.
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