The aim of this study is to thoroughly investigate and explore the application of a fuzzy multi-objective integrated logistics model based on a fuzzy multi-objective logistics model to effectively address the complex challenges faced in the field of green supply chain management. Through an in-depth and systematic numerical study of the distribution channel of a laptop manufacturer in northern China, we have carefully constructed an integrated yet simplified logistics network model designed to comprehensively assess the performance in terms of environmental variability, demand fluctuations and transport costs. In the course of the study, we skilfully integrated historical data and detailed interview findings to accurately estimate key input data, such as annual sales, used product returns, etc., while fully considering key parameters such as logistics-induced operating costs, so as to construct a realistic and concrete model of the logistics management problem. In order to reflect the complexity of the real environment more comprehensively, fuzzy formulas are introduced to provide decision makers with a more integrated framework for thinking, enabling them to make more targeted decisions in response to environmental uncertainty. The detailed results of the numerical study are clearly and systematically summarised in Table 1, which reveals the superiority of the model in practical application through an in-depth analysis of the combined impact of the manufacturing chain, the reverse chain and the overall logistics network on net profit. Ultimately, this study not only expands the understanding of green supply chain issues at the academic level, but also provides advanced and practical solutions for practical management. This research framework lays a solid foundation for future academic deepening and practical application.