Abstract: Aiming at the optimization design of closed-loop supply chain network, a multi-objective optimization design model of closed-loop supply chain network based on Me measure is established to reduce the influence of uncertainty factors in the solution of supply chain network design. Firstly, based on the multi-level closed-loop supply chain network, an optimization function with minimum cost, minimum CO₂ emission and maximum social benefit is established. The Me measure and triangular fuzzy number are used to conduct fuzzy processing of the model and related constraints, and the uncertain closed-loop supply chain network optimization model obtained. Secondly, on the basis of the original whale algorithm, variable convergence factor is introduced to enhance its search ability, and Pareto introduced into the improved whale algorithm to solve the established model. Finally, numerical examples and simulation analysis verify that the algorithm has strong advantages and performance in search capability, time and optimization objective function value.

Key words: design of closed-loop supply chain network, fuzzy optimization, triangular fuzzy number, whale algorithm, uncertainty model