Coupling Coordination Relationship between Rural Revitalization and Three Industry Integration in Gansu Province

With the continuous promotion of the rural revitalization strategy, the integration of rural three industries is an important starting point to comprehensively promote industrial prosperity, and rural revitalization provides the basic guarantee for industrial integration. In order to explore the interaction between rural revitalization and rural tertiary industry integration, combined with the statistical data of Gansu Province from 2010 to 2023, we built a comprehensive evaluation index system, calculated the index weight and comprehensive score by entropy method, measured the coupling coordination degree, and analyzed the coordination relationship. The results show that: the overall score of rural revitalization level in Gansu Province from 2010 to 2023 presents a steady upward trend, while the integration of rural three industries presents a fluctuating upward trend. The coupling coordination relationship of the two systems has experienced a change process of serious disorder-moderate disorder-mild disorder-near disorder. There is a mutual promotion relationship between rural revitalization and rural three-industry integration. The government of Gansu Province should provide a good environment for rural three-industry integration with a higher level of rural revitalization, and a support for rural revitalization with rural three-industry integration system.