The Optimization of the Technological Process with the Fuzzy Regression

The paper contains: problem definition, presentation of the measured data and the final analysis with the fuzzy regression approach. The benefits of such approach are shown in the case of small size samples. Both mentioned technological processes, the one from the automotive industry and the second from the biotechnological industry, have shown the significant benefits of using the fuzzy regression. In the case of small sample size problem, the results obtained from the fuzzy regression have significantly narrower spread in the comparison with the traditional confidence interval being very wide. The approach should also be useful for similar studies, when the probabilistic description of uncertainty is not possible for the reason of the time, the equipment or the financial limits. The developed method will be useful in eventual transition of the process from a laboratory scale to an industrial scale.

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