Closed-Loop Supply Chain Network Design under Uncertainties Using Fuzzy Decision Making

The importance of considering forward and backward flows simultaneously in supply chain networks spurs an interest to develop closed-loop (CLSCN). Due the expanded scope chain, designing CLSCN often faces significant uncertainties. This paper proposes a fuzzy multi-objective mixed-integer linear programming model deal with uncertain parameters CLSCN. two objective functions are minimization overall system costs negative environmental impact. Negative impacts measured quantified through CO2 equivalent emission. Uncertainties include demand, return, scrap rate, manufacturing cost factors. original formulation is firstly converted into crisp then aggregation function applied combine functions. Numerical experiments have been carried out demonstrate effectiveness proposed solution approach. Sensitivity analyses on degree feasibility, weighing coefficient compensation conducted. can be variety real-world situations, such as production processes.