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This paper develops a possibilistic optimization model for a multi-period and multi-objective sustainable blood supply chain with uncertain data due to an uncertain condition during a disaster and after it. The components considered in this study are donor groups, blood collection facilities, distribution centers, and hospitals as the demand points. The minimization of the total cost, environmental effects, in addition to the maximization of social effects are considered as the objectives to increase the efficiency of the network. Then ϵ-constraint method is utilized to transfer the multi-objective mathematical model to a mono objective one. In order to validate the proposed model, some test problems are investigated. For large-sized problems, a meta-heuristic algorithm, namely simulated annealing (SA) is provided for solving the model. Some numerical examples are solved and evaluated and the performance of the SA …