High-strength steel alloys, titanium, ceramics, composites are in the group of materials that are hard to machine. Conventional manufacturing techniques are not sufficient to machine these materials. For this reason, these materials are generally machined with non-conventional manufacturing methods. In this study, a fuzzy application of Best-Worst method and a novel hybrid decision-making model (Best-Worst decision-making approach with fuzzy TOPSIS) are proposed to solve different non-traditional machining method selection problems which were taken from the literature. Using these models, the Best-Worst method shortens the steps of solutions in the fuzzy environment compared to the AHP/ANP-based fuzzy solutions in the literature. The proposed models produce successful results.