fuzzy multi-objective programming to optimize closed-loop supply chain problem considering cloud management

Nowadays, competition is growing therefore, it is essential to try to form proper communicationsand reduce the price of the production along with increasing its quality. a supply chain, especially a closedloop supply chain (clsc) is a good solution in this situation since it has absorbed the attention of managers,manufacturers and researchers. in this paper, a new fuzzy multi-objective closed-loop supply chain isformulated. the first objective function increases profit, the second objective function increases cloudmanagement of total centers of the supply chain, and the third objective function decreases totalenvironmental impacts. the lp-metric method is used to solve the multi-objective model, validating it withnumerical examples, and sensitivity analysis is done on demand and price parameters.