With the development of the social spiritual civilization, people pay more and more attention to physical health. The construction of sports facilities is an important way to improve the national physical quality, which helps to promote the national exercise. So, the demands of sports facilities around the world are in the climax. The blind and crazy expansion of sports facilities can alleviate people’s demand for physical exercise to a certain extent, but there are also risks of environmental damage and economic waste. At present, there is still a lack of scientific guiding theory for the investment decision-making of sports design. In order to improve the quality and efficiency of the sports facility’s construction, its investment decision-making research was combed. According to the requirements, construction goal, and the restriction of the sports facility’s construction, the method of multi-objective optimization and attribute decision was studied and adopted to provide guidance for sports facilities investment decisions-making in this article. And sports facilities construction plan in a given area was taken as a study example to verify the effectiveness of the results studied in this paper. The results showed that the application of multi-objective optimization and attribute decision-making methods to guide the investment and construction of sports facilities can improve its economy and reduce environmental pollution.
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