An application of fuzzy arithmetic to the optimization of industrial machining processes

The attractiveness of fuzzy-set-based methods, and especially fuzzy arithmetic is shown with a technological problem: that of tuning the feed and cutting speed of a machine-tool for proper performance of metal-cutting operations. The single-machine problem is briefly discussed and it is indicated that using fuzzy sets to account for imprecision in the data or the objectives may simplify some existing approaches. Then a method for simultaneous tuning of machine-tools in a synchronized transfer line is described. Fuzzy arithmetic makes it possible to delay as long as necessary the assignment of precise values to the parameters. The feasibility analysis is carried out once for all, from fuzzy-valued cutting parameters reflecting subjective preferences. The procedure can be viewed as an interactive precision improvement process which eventually converges to a trade-off between the quality of cutting and the consistency of the tool-replacement policy, under the synchronization constraint. The advantages of the proposed methodology are its computational efficiency and its ability to account for many sources of uncertainty.