an optimization model for multi-objective closed-loop supply chain network under uncertainty: a hybrid fuzzy-stochastic programming method

in this research, we address the application of uncertaintyprogramming to design a multi-site, multi-product, multi-period,closed-loop supply chain (clsc) network. in order to make theresults of this article more realistic, a clsc for a case study inthe iron and steel industry has been explored. the presentedsupply chain covers three objective functions: maximization ofprofit, minimization of new products' delivery time, collectiontime and disposal time of used products, and maximizingflexibility. to solve the proposed model, an interactive hybridsolution methodology is adopted through combining a hybridfuzzy-stochastic programming method and a fuzzy multi-objectiveapproach. finally, the numerical experiments are given todemonstrate the significance of the proposed model and thesolution approach.