A fuzzy robust control approach to closed-loop supply chain network design under uncertainty

In this paper, we construct a type of dynamic closed-loop supply chain network (CLSCN) model with dual-channel (the traditional channel and the Internet channel), time-delays and uncertainties of cost parameters, gratuitous return rate, remanufacturing/recycling/disposal rates, customer preference rate and customer demand. Furthermore, in order to improve the robustness of CLSCN, we propose a relative strategy with the fuzzy robust control method, present a sufficient condition for the quadratic asymptotic stability of the CLSCN, and obtain a steady cost of the CLSCN operation. Finally, an example is provided to illustrate the effectiveness of the proposed method.