Presenting the Integrated Production-Distribution Planning Model of the Closed-Loop Supply Chain for Agricultural Products Based on Probably Group Decision-Making and Environmental Issues

Efficient supply chain design improves performance in organizations. This issue has been given less attention in the supply chain of agricultural products. This study uses an integrated approach to planning for supply, production, and distribution. This research presents a  multi-objective integer programming model that seeks to minimize costs, environmental effects and maximize suppliers' importance. This research used a combination of             multi-criteria decision-making methods to prioritize suppliers. After that, the obtained weights were considered under the inputs of the multi-objective model. The proposed model can find a combination of the best suppliers by considering a variety of qualitative and quantitative criteria and balancing the criteria. Comparing the answers obtained from the presented model with the actual amount of variables in the studied period clarified the apparent difference in costs. The results indicate that the proposed model can reduce costs significantly. The effect of this parameter on the objective functions was investigated by performing a sensitivity analysis on one of the critical parameters of the model (demand). The results showed that there is no significant difference in the objective functions within the interval of 10% changes in the amount of demand. In comparison, if the demand changes within 20%, a noticeable difference in the objective functions appears. Therefore, it can be said that the answers obtained from solving the model at the right time indicate the model's efficiency and accuracy and show the model's ability to respond to actual condition.