Since the proposal of the low-carbon economy plan, all countries have deeply realized that the economic model of high energy and high emission poses a threat to human life. Therefore, in order to enable the economy to have a longer-term development and comply with international low-carbon policies, enterprises need to speed up the transformation from a high-carbon to a low-carbon economy. Unfortunately, due to the massive volume of data, developing a low-carbon economic enterprise management model might be challenging, and there is no way to get more precise forecast data. This study tackles the challenge of developing a low-carbon enterprise management mode based on the grey digital paradigm, with the aim of finding solutions to these issues. This paper adopts the method of grey digital model, analyzes the strategy of the enterprise to build the model, and makes a comparative experiment on the accuracy and performance of the model in this paper. The results show that the values of MAPE, MSE and MAE of the model in this paper are the lowest. And the r^2 of the model in this paper is also the highest. The MAPE value of the model in this paper is 0.275, the MSE is 0.001, and the MAE is 0.003. These three indicators are much lower than other models, indicating that the model has high prediction accuracy. r² is 0.9997, which is much higher than other models, indicating that the performance of this model is superior. With the support of this model, the efficiency of building an enterprise model has been effectively improved. As a result, developing an enterprise management model for the low-carbon economy based on the gray numerical model can offer businesses new perspectives into how to quicken the shift to the low-carbon economy.

In modern conditions of instability and changes in the factors of the environment of the functioning of many business structures, the construction of their management systems is becoming more complicated; the issue of the conceptual principles of enterprise management is becoming especially important. The conducted research is aimed at substantiating the conceptual principles of enterprise management, defining tasks, and developing recommendations for increasing the efficiency of business processes, strengthening economic potential, and ensuring adaptation to modern challenges. It was determined that under the enterprise management system, it is advisable to consider the methods of influence and interaction between the subject and the object of management, which is based on compliance with principles, using methods, and performing functions in order to achieve the set goals and fulfill the tasks of the enterprise’s activities. The authors proposed a structure of procedural support for building an enterprise management system, which includes. The study developed a system of principles for building organizational structures for managing the activities of enterprises. The main principles of organizing the process of managing a production enterprise include achieving economic efficiency, personal material interest, single leadership, self-management, proportionality, and systematicity. The main recommendations for improving the efficiency of business processes and ensuring adaptation to modern challenges include: the use of digital platforms for promoting the corporate mission, vision and values; the creation of interactive employee training programs; the use of analytical tools for collecting and analyzing data; forecasting market trends and modeling development scenarios; the implementation of systems for integrating key enterprise functions; the use of specialized platforms for risk assessment; building a culture of innovation; methodological support for monitoring the results of the implementation of digital tools; the integration of environmental and social initiatives into all levels of management.