In the background of economic informationization, the integration and development of enterprise refinement management and financial integration have become the mainstream management direction of modern enterprise management. In this paper, the correlation function and judgment matrix are firstly determined by the entropy-weighted elementary topologizable evaluation model, while the initial judgment matrix V is standardized, and the differences in the correlation degree of indicators of different natures should be noted. The entropy power method is applied to calculate the change of relevant evaluation indexes, and the value of information utility in the evaluation system is determined through the change of entropy value. Then the initial data are obtained by means of questionnaires, and data analysis is performed on the first-level indicators in the evaluation system of enterprise financial management capability. The results show that the three indicators of financial risk control capability, financial management informationization level and financial personnel capability, and total budget management level have more room for improvement, but the score of financial risk control capability is only 5.04 points different from the total score, indicating that the specific situation of the enterprise itself for specific analysis. This study improves the level of financial management of enterprises and promotes their development of enterprises.