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Pricing decisions of a closed-loop supply chain in uncertain environment

A single period two echelon closed-loop supply chain system with retail competing was considered in this paper. Through considering the collecting price, wholesale price and retail prices as triangular fuzzy numbers, the optimal decisions for the manufacturer and the two competing retailers was explored by using fuzzy theory and game theory. The expressions of optimal stackelberg equilibrium decisions for the manufacturer and for the two retailers were established. By using numerical examples, the parameter analysis was given.