Designing a mathematical model to empower the environmental capabilities of the closed loop supply chain

Environmental pollution has become one of the most important human concerns. Today, the high volume of industrial waste created by military products, environmental pressures and lack of resources have promoted the manufacturing industries in this field to move towards the implementation of a closed loop supply chain. The main goal of this article is to design a mathematical model to empower the environmental capabilities of the closed loop supply chain. This research is an applied research in terms of purpose and a quantitative research in terms of data and information collection and analysis method. Therefore, a fuzzy mathematical programming model has been designed. The presented model is a 4-objective model, the first objective of which is to minimize emissions, the second objective is to minimize environmental waste, the third objective is to minimize cost, and the fourth objective is to minimize the risk of raw material supply. After designing the model, validation of the model has been done by solving it in small dimensions and then using four algorithms NSGAII, MOPSO, MOACO, MOSA to solve the model in medium and large dimensions and its results have been compared. Based on the results of sensitivity analysis of the model, the response of the model to different parameters has been investigated. The results show that the simultaneous consideration of environmental, economic and risk dimensions in the parameters leads to the improvement of the performance of the closed loop supply chain in terms of empowering the environmental capabilities and profitability.