Optimization of Benefit Distribution in Green Supply Chain for Prefabricated Buildings Based on TFN-TOPSIS-Banzhaf Cooperative Game Theory

With the rapid development of the prefabricated building industry, the green supply chain of prefabricated buildings has become a key driver of sustainable development and efficiency improvement in the industry. However, the issue of benefit distribution arising from cooperation has become the main challenge affecting the long-term stability of the supply chain. To address this, this study proposes an improved TFN-TOPSIS-Banzhaf value model, which optimizes the benefit distribution in the green supply chain of prefabricated buildings using cooperative game theory. This approach enhances both the fairness and accuracy of the distribution. The model integrates a combination of subjective and objective weighting methods based on triangular fuzzy numbers and the M-TOPSIS method for multi-factor evaluation, resulting in the corrected weight coefficients. By combining the weighting coefficients and least squares contributions, the improved Banzhaf value based on players' weighted least squares contributions is constructed. The effectiveness and robustness of the model are verified through a case analysis, which significantly enhances the model's ability to handle supply chain synergies and achieves a more fair and precise benefit distribution. This research provides an effective benefit distribution tool for the prefabricated building industry, promoting the continuous development of green building practices and supply chain cooperation.