<p>This study addresses increasing environmental concerns by introducing an innovative sustainable fuzzy inventory approach that integrates green considerations, carbon emissions, and a bi-phase credit policy. The adoption of sustainable supply management techniques is aided by this study, which helps businesses strive for both commercial excellence and responsibility toward the environment. Ecological issues are added to traditional business concerns in environmental supplies operations, making it unique. The model developed promotes environmentally friendly behaviors while accounting for the bi-phase credit period and maximizing the total profit function. The product’s degree of ecological sustainability and the retailer's demand criteria are taken into consideration when evaluating demand. Suppliers are encouraged to embrace sustainable practices by the flexible payment periods provided by the bi-phase credit policy. Numerical examples demonstrate the effectiveness of the proposed approach in reducing carbon emissions, costs and inventory levels while improving supply chain resilience. But in practice, it's rare to have precise knowledge of these characteristics. The model gets improved further by taking into account different parameters’ ambiguous nature in order to adjust for this. Numerical illustrations are used to demonstrate the statistical findings, which have been obtained through a mathematical framework. Sensitivity assessments of the model have been conducted to examine the attributes of various parameters. The imaginative nature of the recommended method can be seen through visual assistance.</p>