Supply chain network design with multi- mode demand based on acceptance degree of fuzzy constraints violated

This paper designs a mathematical model for supply chain network design problem including plants, distributors and customers in fuzzy environment. Each plant and distributor has several levels capacities. A multi-mode demand strategy is considered for the customers where only one of the modes is to be selected for each customer. Considering the acceptance degree of fuzzy constraints violated, a method for solve the problem is proposed. For this aim, we proposed an order relationship for trapezoidal fuzzy numbers using their interval expectation value. According to this order relationship, the fuzzy supply chain network problem is converted to an interval supply chain network problem. Then, by combining the order relationship between intervals and acceptance degree of fuzzy constraints violated, the problem is transformed into a bi-objective program model and is solved by the global criterion method. Finally, in order to, show the effectiveness of the proposed approach, several test problems are solved in various sizes.