Fuzzy–grey prediction of cutting force uncertainty in turning

To predict the extent of turning force uncertainty quantitatively, this paper proposes a fuzzy–grey prediction procedure based on the symmetric fuzzy number, linear planning theory and grey set theory. To verify the developed procedure, a measuring system of turning force is schematised to acquire the evaluating data. The comparison between the prediction results and the measured data demonstrates that the prediction is an extent of variable force rather than a certain point for the given turning conditions, and that the measured force drops into the extent with a smaller relative error. In addition, the procedure needs less experimental data in modelling. This work is new and original, and helpful for engineering application.