International Journal of Fuzzy Systems

, Volume 21, Issue 2, pp 433–440 | Cite as

Design of a New Attribute Control Chart Under Neutrosophic Statistics

  • Muhammad AslamEmail author
  • Rashad A. R. Bantan
  • Nasrullah Khan


In this manuscript, we will originally design a Shewhart attribute control chart under the neutrosophic statistical interval method. The neutrosophic measures to study the performance of the proposed chart are given. The neutrosophic control chart coefficients are determined through the neutrosophic algorithm. A simulation study is also added to show the efficiency of the proposed control chart under the neutrosophic statistical interval method over the attribute control chart under the classical statistics. The comparison of the proposed chart with the existing chart is also given in terms of neutrosophic average run length (NARL). Some tables of NARL are given and explained using the real data from the company.


Neutrosophic statistics Neutrosophic average run length Neutrosophic algorithm Classical statistics Simulation 



The authors are deeply thankful to the editor and the reviewers for their valuable suggestions to improve the quality of this manuscript. This work was supported by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, under Grant No. D-260-130-1439. The authors, therefore, gratefully acknowledge the DSR technical and financial support.

Compliance with Ethical Standards

Conflicts of interest

The authors declare that they have no conflict of interest.


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Copyright information

© Taiwan Fuzzy Systems Association and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Muhammad Aslam
    • 1
    Email author
  • Rashad A. R. Bantan
    • 2
  • Nasrullah Khan
    • 3
  1. 1.Department of Statistics, Faculty of ScienceKing Abdulaziz UniversityJeddahSaudi Arabia
  2. 2.Department of Marine Geology, Faculty of Marine ScienceKing Abdulaziz UniversityJeddahSaudi Arabia
  3. 3.Department of StatisticsJhang Campus, University of Veterinary and Animal SciencesLahorePakistan

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