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A New X-Bar Control Chart for Using Neutrosophic Exponentially Weighted Moving Average

Author

Listed:
  • Muhammad Aslam

    (Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21551, Saudi Arabia)

  • Ali Hussein AL-Marshadi

    (Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21551, Saudi Arabia)

  • Nasrullah Khan

    (Department of Statistics, University of Veterinary and Animal Sciences, Jhang Campus, Lahore 54000, Pakistan)

Abstract

The existing Shewhart X-bar control charts using the exponentially weighted moving average statistic are designed under the assumption that all observations are precise, determined, and known. In practice, it may be possible that the sample or the population observations are imprecise or fuzzy. In this paper, we present the designing of the X-bar control chart under the symmetry property of normal distribution using the neutrosophic exponentially weighted moving average statistics. We will first introduce the neutrosophic exponentially weighted moving average statistic, and then use it to design the X-bar control chart for monitoring the data under an uncertainty environment. We will determine the neutrosophic average run length using the neutrosophic Monte Carlo simulation. The efficiency of the proposed plan will be compared with existing control charts.

Suggested Citation

  • Muhammad Aslam & Ali Hussein AL-Marshadi & Nasrullah Khan, 2019. "A New X-Bar Control Chart for Using Neutrosophic Exponentially Weighted Moving Average," Mathematics, MDPI, vol. 7(10), pages 1-13, October.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:10:p:957-:d:275891
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    References listed on IDEAS

    as
    1. Alireza Faraz & M. Moghadam, 2007. "Fuzzy Control Chart A Better Alternative for Shewhart Average Chart," Quality & Quantity: International Journal of Methodology, Springer, vol. 41(3), pages 375-385, June.
    2. Bai, D. S. & Lee, K. T., 2002. "Variable sampling interval control charts with an improved switching rule," International Journal of Production Economics, Elsevier, vol. 76(2), pages 189-199, March.
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    Cited by:

    1. Muhammad Aslam & Mohammed Albassam, 2021. "Monitoring Road Accidents and Injuries Using Variance Chart under Resampling and Having Indeterminacy," IJERPH, MDPI, vol. 18(10), pages 1-18, May.

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