Evaluation and Restoration Method of Old Urban Area in Small and Medium-sized Cities of Zhejiang Province Based on “Grey Relational Analysis”: In the Case of Qinyang Area in Quzhou City.

China's urbanization has entered the era of stock, and Urban Restoration has become an important means to promote the high-quality development of cities. In this context, this paper discusses the problems and Restoration methods of urban old area renewal in small and medium-sized cities in Zhejiang based on grey relational analysis. This paper selects several small and medium-sized urban renewal projects in Zhejiang Province as cases, and through grey relational analysis model, quantitatively evaluates the key influencing factors in urban old area renewal, and reveals the internal logic and action mechanism of urban old area renewal. The study finds that urban old area Restoration is not only a change of physical space, but also a complex feedback process on human behavioral patterns and social activities. The study reviews academic research on Urban Restoration, focuses on studies related to urban old area renewal, and introduces the grey relational analysis model as a quantitative tool. By combing the current situation of old districts in Zhejiang, the problems existing in the context of Urban Restoration are analyzed. Subsequently, a model for Urban Restoration of old urban areas based on grey relational analysis was established, and through data analysis of several Zhejiang Province small and medium-sized cities' renewal cases, the renewal focuses for creating old areas in small and medium-sized cities in Zhejiang Province were put forward, and the technical paths and renewal standards were identified for urban renewal projects in other small and medium-sized cities in Zhejiang Province. The study proposes that the urban old area renewal in small and medium-sized cities in Zhejiang Province needs to take into account the coordinated development of environmental repair, functional optimization, social and cultural values and economic benefits. Grey Relational Analysis is an effective tool for quantifying the correlation of multiple factors in a complex system, which provides a scientific and quantitative assessment method for urban old area renewal, and helps decision makers to identify the key influencing factors, Optimize resource allocation, and enhance the science and effectiveness of the Restoration strategy. As a typical representative of small and medium-sized urban old areas in Zhejiang, Qinyang Area demonstrates the feasibility of applying the theory to actual Restoration projects, provides a reference template for urban Restoration in other areas, and at the same time reduces the cost of urban Restoration routes and provides new solution ideas. The research results show that the urban old area Restoration method based on grey relational analysis can effectively sort out the main conflicts in urban old area Restoration, so as to put forward effective and accurate Restoration methods, thus improving the quality of life of urban residents and promoting the sustainable development of the city. This study provides new perspectives and methods for urban old area Restoration in small and medium-sized cities in Zhejiang Province, innovatively applies the grey relational analysis model to the field of small and medium-sized cities' old area Restoration, expands the scope of application of quantitative assessment tools, and provides theoretical references and practical paths for stock renewal in other small and medium-sized cities.