This paper proposes an extension of fuzzy multi-criteria decision making (MCDM) method for supporting the personnel selection process. In the proposed method, the ratings of various alternatives versus various subjective criteria and the weights of all criteria are assessed in linguistic terms represented by generalized fuzzy numbers. Then, the weighted fuzzy decision matrix is derived by arithmetic of generalized fuzzy numbers. To make the procedure easier and more practical, the weighted ratings are defuzzified into crisp values by using the most popular ranking approach based on centroid index. Finally, this study applies the proposed fuzzy MCDM method to solve a lecturer selection problem, demonstrating its applicability and computational process.