Lathe CNC Machine Tool Evaluation by Exploring Grey Set based Full Multiplicative Form Approach

Abstract: Computer Numerical Control (CNC) machine tools play a vital role in modern advanced manufacturing environments, where precision, efficiency, and reliability are critical. Evaluating CNC machines involves multiple conflicting criteria, making the decision-making process complex, particularly under conditions of uncertainty and incomplete information. Conventional evaluation techniques often lack the capability to effectively address such ambiguity. To overcome these limitations, this study proposes a comprehensive evaluation and benchmarking model for lathe CNC machine tools based on grey system theory. The proposed framework is structured using a SLS and focuses exclusively on key performance criteria and relevant metrics to ensure practical applicability. Grey set theory is incorporated into the model to manage uncertainty, vagueness, and incomplete data inherent in real-world decision environments. Furthermore, a grey-based crisp Full Multiplicative Form (FMF) approach is applied to rank and benchmark the alternative CNC lathe machines. The results demonstrate the effectiveness and robustness of the proposed approach in identifying the most suitable CNC machine tool among multiple alternatives. The study concludes by highlighting the practical implications and reliability of the model for decision-makers in advanced manufacturing systems.

Keywords: CNC Machine Tools, Grey Set Theory, Benchmarking, MCDM, Manufacturing Systems, Full Multiplicative Form Approach, MCDM