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A Novel Approach of Fuzzy Control Chart with Fuzzy Process Capability Indices Using Alpha Cut Triangular Fuzzy Number

Author

Listed:
  • Mohammad Ahmad

    (Faculty of Science, Beijing University of Technology, Beijing 100124, China)

  • Weihu Cheng

    (Faculty of Science, Beijing University of Technology, Beijing 100124, China)

Abstract

Statistical Quality Control is a valuable strategy that applies to the statistical technique for monitoring a manufacturing system under particular situations. On the other hand, the fuzzy set theory is an ideal instrument to cope with an unclear situation. The existing studies are restricted, and there is still mystery behind the unclear data. This paper deals with technique: namely, the fuzzy control chart based on fuzzy process capability indices (FCPI) using triangular fuzzy numbers (TFNs). Alpha cut theory is applied in statistical quality control for fuzzy process control industrial application. This is a five-phase study that deals with the control chart using capability indices. The numerical example is also performed using the proposed technique. This paper would help to better assess/understand the manufacturing system data and would explore the application of the fuzzy control techniques.

Suggested Citation

  • Mohammad Ahmad & Weihu Cheng, 2022. "A Novel Approach of Fuzzy Control Chart with Fuzzy Process Capability Indices Using Alpha Cut Triangular Fuzzy Number," Mathematics, MDPI, vol. 10(19), pages 1-15, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:19:p:3572-:d:930035
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    References listed on IDEAS

    as
    1. Saeid Jafarzadeh Ghoushchi & Elnaz Osgooei & Gholamreza Haseli & Hana Tomaskova, 2021. "A Novel Approach to Solve Fully Fuzzy Linear Programming Problems with Modified Triangular Fuzzy Numbers," Mathematics, MDPI, vol. 9(22), pages 1-13, November.
    2. 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.
    3. 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.
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    Cited by:

    1. Dineswary Nadarajan & Saber Abdelall Mohamed Ahmed & Noor Fadiya Mohd Noor, 2023. "Seaport Network Efficiency Measurement Using Triangular and Trapezoidal Fuzzy Data Envelopment Analyses with Liner Shipping Connectivity Index Output," Mathematics, MDPI, vol. 11(6), pages 1-27, March.
    2. Zuo Sun & Qingjie Qi & Yingjie Liu, 2022. "Vulnerability Assessment of Mine Flooding Disaster Induced by Rainstorm Based on Tri-AHP," Sustainability, MDPI, vol. 14(24), pages 1-14, December.

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