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

Muhammad Aslam, Ali Hussein AL-Marshadi and Nasrullah Khan
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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

Mathematics, 2019, vol. 7, issue 10, 1-13

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.

Keywords: neutrosophic logic; fuzzy logic; control chart; neutrosophic numbers; monitoring (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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