Bioprinting has been applied to fabricate biomedical parts such as skin, scaffolds, tissues, and muscles. However, most previous studies in this field compared the advantages and/or disadvantages of a bioprinter subjectively. A systematic and objective method for comparing various bioprinters, so as to recommend the most suitable one to a decision maker, is lacking. To address this issue, a fuzzy analytic hierarchy process (FAHP) and fuzzy technique for order preference by similarity to ideal solution (FTOPSIS) approach is proposed in this study. In the proposed FAHP-FTOPSIS approach, FAHP is applied to derive the fuzzy weights of factors critical to the suitability of a bioprinter, based on a decision maker’s subjective judgments. Subsequently, the derived fuzzy weights are fed into the FTOPSIS approach to evaluate the overall performance of a bioprinter. The FAHP-FTOPSIS approach has been successfully applied to the case of making a choice from nine bioprinters. Parametric analyses have also been conducted to show the robustness of the proposed methodology.