An important way to implement supply chain management is to review purchasing practices. In the recent decade, finding the most appropriate supplier as a strategic supplier in the supply chain has attracted a lot of attention. This research has been completed in two phases. In the first phase, suppliers were ranked by Fuzzy Network Analysis (ANP-Fuzzy) method and using customer relationship management metrics. Then, in the second phase, a four-objective model was designed that includes four goals of minimizing the cost of supply, failure and maximizing the level of service by the supplier and the supplier's compliance with environmental management issues. In the following, the four-objective problem is turned into single-objective problem by a fuzzy goal-programming method, and several numerical examples have been devised to describe the adequacy of this strategy. The implemented algorithm shows good results in convenient computational time. Therefore, goal-programming model is selected as the optimal allocation pattern in this company.