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Time-Truncated Group Plan under a Weibull Distribution based on Neutrosophic Statistics
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A New X-Bar Control Chart for Using Neutrosophic Exponentially Weighted Moving Average

1
Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21551, Saudi Arabia
2
Department of Statistics, University of Veterinary and Animal Sciences, Jhang Campus, Lahore 54000, Pakistan
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Author to whom correspondence should be addressed.
Mathematics 2019, 7(10), 957; https://doi.org/10.3390/math7100957
Received: 22 August 2019 / Revised: 2 October 2019 / Accepted: 8 October 2019 / Published: 12 October 2019
(This article belongs to the Special Issue New Challenges in Neutrosophic Theory and Applications)
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. View Full-Text
Keywords: neutrosophic logic; fuzzy logic; control chart; neutrosophic numbers; monitoring neutrosophic logic; fuzzy logic; control chart; neutrosophic numbers; monitoring
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Aslam, M.; AL-Marshadi, A.H.; Khan, N. A New X-Bar Control Chart for Using Neutrosophic Exponentially Weighted Moving Average. Mathematics 2019, 7, 957.

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