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Computerised numerical control (CNC) machining is one of the most commonly used manufacturing processes. This paper presents the effect of CNC turning parameters on power consumption and material removal rate using grey based fuzzy logic approach. Through this approach, optimisation of complicated multi-objectives can be converted into optimisation of a single grey-fuzzy reasoning grade. Based on grey-fuzzy reasoning grade, optimum level of parameters has been identified. The significant contributions of parameters are estimated using analysis of variance (ANOVA). Confirmation test is conducted for validation and reported.