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Development of fuzzy individual x and moving range control chart

Author

Listed:
  • Azam Moraditadi
  • Soroush Avakhdarestani

Abstract

Control charts are very effective tools which are used for detecting the assignable cause of variation. This paper investigated fuzzy individual x and moving range (IX-MR) control chart in the case of uncertainty for process parameters and data. In this paper, fuzzy mode method was employed to design fuzzy IX-MR control chart for triangular and trapezoidal fuzzy number fuzzy numbers coded by MATLAB software. Then unnatural patterns were studied in a fuzzy environment. To validate the model, an industrial example was utilised and then the results were verified. Results showed that the fuzzy one was more sensitive than the classic cases and more consistent with the actual situation. Also, fuzzy mode method was more sensitive for trapezoidal than triangular fuzzy numbers.

Suggested Citation

  • Azam Moraditadi & Soroush Avakhdarestani, 2016. "Development of fuzzy individual x and moving range control chart," International Journal of Productivity and Quality Management, Inderscience Enterprises Ltd, vol. 17(1), pages 82-103.
    • Handle: RePEc:ids:ijpqma:v:17:y:2016:i:1:p:82-103
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    References listed on IDEAS

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    1. K. Srinivasa Rao & Neelufur & K. Venkata Subbaiah, 2010. "Optimal operating policies of X-bar control chart for non-normal variables with generalised Pareto in-control times," International Journal of Productivity and Quality Management, Inderscience Enterprises Ltd, vol. 6(1), pages 91-111.
    2. Erwin Saniga & Thomas McWilliams & Darwin Davis & James Lucas, 2006. "Economic control chart policies for monitoring variables," International Journal of Productivity and Quality Management, Inderscience Enterprises Ltd, vol. 1(1/2), pages 116-138.
    3. Abdul Sattar Safaei & Reza Baradaran Kazemzadeh & Seyed Taghi Akhavan Niaki, 2012. "Multiobjective design of an S control chart for monitoring process variability," International Journal of Multicriteria Decision Making, Inderscience Enterprises Ltd, vol. 2(4), pages 408-424.
    4. Gulbay, Murat & Kahraman, Cengiz, 2006. "Development of fuzzy process control charts and fuzzy unnatural pattern analyses," Computational Statistics & Data Analysis, Elsevier, vol. 51(1), pages 434-451, November.
    5. D.R. Prajapati & Sukhraj Singh, 2012. "Control charts for monitoring the autocorrelated process parameters: a literature review," International Journal of Productivity and Quality Management, Inderscience Enterprises Ltd, vol. 10(2), pages 207-249.
    6. Nandini Das, 2012. "Performance of control chart using generalised lambda distribution," International Journal of Productivity and Quality Management, Inderscience Enterprises Ltd, vol. 10(4), pages 411-427.
    7. Sukhraj Singh & D.R. Prajapati, 2014. "A modified range (R) chart to monitor process dispersion of autocorrelated data," International Journal of Productivity and Quality Management, Inderscience Enterprises Ltd, vol. 13(1), pages 67-88.
    8. D.R. Prajapati & P.B. Mahapatra, 2009. "Control charts for variables to monitor the process mean and dispersion: a literature review," International Journal of Productivity and Quality Management, Inderscience Enterprises Ltd, vol. 4(4), pages 476-520.
    9. Nandini Das & Lalit Sachan, 2013. "Robust control charts for controlling location parameter," International Journal of Productivity and Quality Management, Inderscience Enterprises Ltd, vol. 12(1), pages 18-37.
    10. Bradshaw, Charles W., 1983. "A fuzzy set theoretic interpretation of economic control limits," European Journal of Operational Research, Elsevier, vol. 13(4), pages 403-408, August.
    11. Jing Sun & Masayuki Matsui, 2010. "Models of P control chart with tardiness penalty," International Journal of Productivity and Quality Management, Inderscience Enterprises Ltd, vol. 6(2), pages 137-155.
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