Methodology for assessing the convergence of digital industrialization and industrial digitalization in the conditions of Industry 4.0 and 5.0

 The relevance of the study of the convergence of digital industrialization and industrial digitalization is due to the significant impact of digital technologies on modern economic systems, where they act as a catalyst for innovation, modernization of the industrial structure and sustainable development within the framework of the concepts of Industry 4.0 and 5.0. The purpose of the study is to develop an author's methodology for assessing the convergence of the digital industrialization and industrial digitalization in the conditions of Industry 4.0 and 5.0. This will fill the existing gap in the scientific literature and provide a tool for analyzing and comparing the effectiveness of digital applications in various economic systems. Particular attention is paid to the adaptation of this methodology for the conditions of Industry 4.0 and 5.0, which enriched the theoretical basis and practical recommendations in this area. The study applied methods of descriptive, criteria, quantitative, comparative and trend analysis; methods of systematization, aggregation and normalization. The source of initial data in dynamics from 2010 to 2022 was Rosstat in terms of information society indicators as of September 2023. The results of the study consist in the development and successful testing of the author's methodology for assessing the convergence of the digital industrialization and industrial digitalization in general in the Russian Federation, as well as in a comparative analysis of the dynamics of this process between Russia and China. The method includes 6 main stages. The novelty of the work lies in creation of a unique tool for convergence analysis in Industry 4.0 and 5.0, which includes a system of indicators for assessing the convergence of digital industrialization and industrial digitalization from 2 primary, 7 secondary and 19 tertiary indicators, which fills the existing gap in the academic literature. The practical value of the study is expressed in recommendations formulated on the basis of empirical data to stimulate the sustainable development of the digital economy in Russia. Further research may focus on detailing the convergence assessment methodology across industries and geographies, integration with other indicators of sustainability and resiliency, and effectiveness analysis for different stages and mechanisms of digital adoption.