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 and linear planning theory and grey set theory.To ve rify the developed procedure,a measuring system of turning force is schematized to acquire the evaluating data.The comparison between the prediction results a nd measured data demonstrates that the prediction is an extent of variable force rather than a certain point for the given turning conditions,and the measured force drops into the extent with smaller relative error.In addition,the proce dure only needs less experimental data in modeling.This work is new and origina l,and helpful for engineering application.