The Effect of Measurement Error on X-R Fuzzy Control Charts

M. Moameni · Abbas Saghaei · M. Ghorbani Salanghooch

15 citations0/0 files storedEngineering Technology & Applied Science Research

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Advanced Statistical Process Monitoring Fault Detection and Control Systems Fuzzy Systems and Optimization

Abstract

Control charts are tools used for monitoring manufacturing processes. Fuzzy Set Theory has found its way in control charts and new types of fuzzy control charts, with different capabilities, has been introduced. In this paper, a process in which the result of the measuring of each piece is imprecise is studied, and a X̃-R̃ fuzzy control chart is used for monitoring. The aim is to study the effect of measurement error on the effectiveness of the fuzzy control chart to detect out of control situations. The model used in this research is a linear covariate model. ARL parameters are used to study the performance of the fuzzy control chart when the parameters of covariate model is increased or decreased.

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References

1992Introduction to Statistical Quality Control 2001Effect of Measurement Error on Shewhart Control Charts 2008Development of fuzzy X¯∼-R∼ and X¯∼-S∼ control charts using α-cuts 2010Process capability analyses based on fuzzy measurements and fuzzy control charts 2004EWMA Chart and Measurement Error 1986The Effect of Measurement Error on the Power of X-R Charts

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2016The effects of measurement error on the MAX EWMAMS control chart 2013MEASUREMENT ERROR EFFECT ON THE POWER OF CONTROL CHART FOR ZERO- TRUNCATED POISSON DISTRIBUTION 2020Intuitionistic fuzzy c-control charts using defuzzification and likelihood methods 2017Joint Monitoring of Process Location and Dispersion Based on CUSUM Procedure and Generalized Likelihood Ratio in the Presence of Measurement Errors

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