Abstract
Exponentially Weighted Moving-Averages (EWMA) and Cumulative-Sum (CUSUM) control charts have the ability of detecting small shifts in the process mean. Classical EWMA and CUSUM charts are not capable to capture the uncertainty in case of incomplete data. Fuzzy EWMA and CUSUM control charts are developed in this chapter and numerical illustrations are given.
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References
Alipour, H., Noorossana, R.: Fuzzy multivariate exponentially weighted moving average control chart. Int. J. Adv. Manufact. Technol. 48, 1001–1007 (2010)
Barnhard G.A.: Control charts and stochastic processes. J. R. Stat. Soc. B 21 (1959)
Devor, R.E., Chang, T., Sutherland, J.W.: Statistical Quality Design and Control, Contemporary Concepts and Sutherland Methods. Pearson Education Inc., Upper Saddle River (2007)
Erginel, N.: Fuzzy individual and moving range control charts with α-cuts. J. Intell. Fuzzy Syst. 19, 373–383 (2008)
Erginel, N.: Fuzzy rule-based \(\tilde{p}\) and \(n\tilde{p}\) control charts. J. Intell. Fuzzy Syst. 27(1), 159–171 (2014)
Erginel, N., Şentürk, S., Kahraman, C., Kaya, İ.: Evaluating the packing process in food industry using \(\tilde{\bar{X}}\,and\,\tilde{S}\) control charts. Int. J. Comput. Intell. Syst. 4(4), 509–520 (2011)
Faraz, A., Moghadam, M.B.: Fuzzy control chart a beter alternative for Shewhart Average Chart. Qual. Quant. 41, 375–385 (2007)
Gülbay, M., Kahraman, C.: Development of fuzzy process control charts and fuzzy unnatural pattern analyses. Comput. Stat. Data Anal. 51, 434–451 (2006)
Gülbay, M., Kahraman, C.: An alternative approach to fuzzy control chart: direct fuzzy approach. Inf. Sci. 77(6), 1463–1480 (2006)
Gülbay, M., Kahraman, C., Ruan, D.: α-cut fuzzy control chart for linguistic data. Int. J. Intell. Syst. 19, 1173–1196 (2004)
Kanagawa, A., Tamaki, F., Ohta, H.: Control charts for process average and variability based on linguistic data. Intell. J. Prod. Res. 31(4), 913–922 (1993)
Kaya, İ., Kahraman, C.: Process capability analysis based on fuzzy measurements and fuzzy control charts. Expert Syst. Appl. 38, 3172–3184 (2011)
Montgomery, D.C.: Introduction to Statistical Quality Control. Wiley, New York (1990)
Raz, T., Wang, J.H.: Probabilistic and memberships approaches in the construction of control chart for linguistic data. Prod. Planning Control 1, 147 (1990)
Shu, H.M, Nguyen, T.L, Hsu. B.M.: Fuzzy MaxGWMA chart for identifying abnormal variations of on-line manufacturing processes with imprecise information. Expert Syst. Appl. (2013)
Şentürk, S.: Fuzzy regression control chart based on α-cut approximation. Int. J. Comput. Intell. Syst. 3(1), 123–140 (2010)
Şentürk, S., Erginel, N.: Development of fuzzy \(\tilde{\bar{X}} - \tilde{R}\) and \(\tilde{\bar{X}} - \tilde{S}\) control charts using \(\alpha\)-cuts. Inf. Sci. 179, 1542–1551 (2009)
Şentürk, S., Erginel, N., Kaya, İ., Kahraman, C.: Design of Fuzzy \(\tilde{u}\) Control Chart. J. Multiple Valued-Logic Soft Comput. 17, 459–473 (2011)
Şentürk, S., Erginel, N., Kaya, İ., Kahraman, C.: Fuzzy exponentially weighted moving average control chart for univariate data with a real case application. Appl. Soft Comput. 22, 1–10 (2014)
Wang, D.: A CUSUM control chart for fuzzy quality data. In: Lawry, J., Miranda, E., Bugarin, A., Li, S., Gil, M.A., Grzegorzewski, P., Hryniewicz, O. (eds.) Soft Methods for Integrated Uncertainty Modelling, pp. 357–364. Springer, Heidelberg (2006)
Wang, J.H., Raz, T.: On the construction of control charts using linguistic variables. Intell. J. Prod. Res. 28, 477–487 (1990)
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Erginel, N., Şentürk, S. (2016). Fuzzy EWMA and Fuzzy CUSUM Control Charts. In: Kahraman, C., Kabak, Ö. (eds) Fuzzy Statistical Decision-Making. Studies in Fuzziness and Soft Computing, vol 343. Springer, Cham. https://doi.org/10.1007/978-3-319-39014-7_15
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DOI: https://doi.org/10.1007/978-3-319-39014-7_15
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