## 1 Introduction
The traditional comprehensive evaluation methods mainly include the analytic hierarchy process [9; 10], Bayesian network method [11; 12; 13; 14; 15], fuzzy comprehensive evaluation method [16; 17; 18], Vague set method [19], grey relational degree method [20], cloud model method [21], etc. The matter-element extension model is a method to determine the classical domain matter-element, nodal domain matter-element, and matter-element to be evaluated and the correlation function through the matter-element theory, make qualitative analysis by using the extension of matter-element, and make quantitative calculation by using the correlation function, and finally obtain the evaluation result. At present, the matter-element theory has achieved considerable results [22; 23]. [PERSON] et al. [24] carried out a water quality evaluation based on the improved matter-element extension evaluation model and compared the results with the comprehensive scoring method and the attribute identification method, which proves the rationality of improving the matter-element model. [PERSON] et al. [25] used the matter-element model to evaluate the comprehensive benefits of watershed governance and pointed out that when the evaluation index value fluctuated slightly, the model was still stable and reliable and had good practicability. [PERSON] et al. [26] established a matter-element model based on the life cycle assessment method and sorted the process flow through the calculation of the correlation degree. In this paper, the triangular fuzzy number method [27] and the improved CRITIC method are used to calculate the index weights, and an improved matter-element extension evaluation model is constructed by combining the matter-element theory and extension sets, and the comparison and analysis are made with the TOPSIS model and the cloud theory model. [PERSON] et al. [28] analyzed the sensitivity factors from the hydrological conditions of the basin, regional water supply and demand, and economic and social development, selected the influencing factors to construct the index system and used the material element topology model to allocate the water rights of the industry and the region of the reservoir in accordance with the water supply of the reservoir. The improved material element extension model was chosen because it can effectively solve the incompatibility between evaluation indicators, improve the accuracy of the evaluation results, consider the uncertainty and ambiguity of the data, and provide good flexibility and adaptability to different evaluation scenarios. In addition, the model is based on a combination of subjective and objective weighting methods, which improves the scientific and rational nature of the evaluation. It can also provide decision support and has been validated in empirical studies in several fields, proving its effectiveness and feasibility in solving complex system evaluation problems. However, the planning and utilization of river and lake shorelines face many challenges, including low resource utilization, high pressure on ecological protection, frequent problems of illegal construction, and difficulties in curbing illegal sand mining activities. In addition, existing planning and management measures are deficient and lack effective regulation and enforcement. Lack of data limits the development of scientific decision-making, while existing evaluation methods may not fully capture the complexity of shoreline planning and utilization.