Multi-objective fuzzy design of forestry-paper supply chain network

The paper proposes a model of multi-objective forestry-paper supply chain network with risks under fuzzy environment. Minimizing the risks and the total cost of forestry supply chain network is the objective of this study. The lower semi-variance is used to measure the risks. The total cost is composed of variable cost, fixed cost, and transportation cost. Different from previous literature, an approximation method is put forward to convert a continuous fuzzy issue into discrete fuzzy issue and method of auxiliary variable is introduced to transform multi-objective problem into single-objective problem. Cplex 12.6 is used to deal with this problem. The results are as follows. First, this model can be well solved by Cplex 12.6. Second, the structure of forestry-paper supply chain network keeps unchanged with the increase of discretization points. Third, the lower semi-variance and expected value of total cost converge with the increase of discretization points.