A supply chain consists of organizations, people, technology, activities, information, and resources whose members are involved in the delivery of a product from supplier to customer, such as a chain of interconnected chains. One of the main challenges in the supply chain is the choice of the best supplier. In this study, the first issue of the supply chain involves a manufacturer, a vendor, and several products that demand the market for products as uncertain and ambiguous, and provides an analytical model for it. In the problem, triangular fuzzy numbers are used to indicate uncertainty and ambiguity in demand.Here, the problem is investigated and compared in both coordinated and non-coordinated retailer and manufacturer mode. After fuzzy mathematical calculations, the coordinated mode between retailer and manufacturer was selected as the optimal supply chain policy. In the next step, the supply chain issue with several products, multiple vendors, multiple manufacturers, and several periods with fuzzy parameters are investigated.
