Multiple Criteria Decision Making (MCDM) substantially evolved during the past decades and became one of the most important area for decision making science. The Vendor selection problem is one of the strategic decisions that have a significant impact on the performance of the supply chain for any manufacturing firm. In this study, with illustrative Example it is explain how a hybrid model FAHP-ARAS is used to select the most suitable vendor providing the most satisfaction to any manufacturer by fulfilling all the criterion on optimum level. The weights of criteria are calculated using Fuzzy Analytic Hierarchy Process (FAHP) approach and then the Additive Ratio Assessment (ARAS) has been applied for the final selection.