The analytic network process (ANP) method is normally used to determine the relative weights of a set of evaluation criteria when ranking the competing alternatives in terms of their overall performance. It has the ability to deal with interdependent relationships among the criteria. Since the fuzzy logic approach provides more accuracy on judgments, the fuzzy extension of the ANP method enables the decision-maker to use uncertain human preferences as input information in the decision-making process. The fuzzy ANP enhances the potential of the conventional ANP for dealing with imprecise and vague human comparison judgments. In this work, a fuzzy ANP method is introduced to present a performance analysis on a specific machine tool selection problem. Unlike conventional fuzzy ANP applications, the proposed approach here is to be applied comprehensively for a sophisticated machine selection case in a company. Different from the machine tool selection studies so far done, machine hardware and software are to be discussed together in the selection process. It is used for the selection of a 3D coordinate-measuring machine for a die manufacturing company. The results indicate more accurate and reliable decision making in machine tool selection problem.