IDEAS home Printed from https://ideas.repec.org/a/spr/operea/v21y2021i2d10.1007_s12351-019-00490-4.html
   My bibliography  Save this article

A process capability index for normal random variable with intuitionistic fuzzy information

Author

Listed:
  • Gholamreza Hesamian

    (Payame Noor University)

  • Mohamad Ghasem Akbari

    (University of Birjand)

Abstract

In this study, a process control criterion was extended based on intuitionistic fuzzy information in cases where the underlying population is normal with intuitionistic fuzzy mean and exact variance. The proposed process control criterion was constructed based on the arithmetic operations and a common distance measure in the space of intuitionistic fuzzy numbers. For this purpose, one of the most popular process capability indices and its corresponding estimator were extended based on intuitionistic fuzzy specific limits and intuitionistic fuzzy target when the intuitionistic fuzzy mean and/or variance are unknown. A criterion was also proposed to investigate the level of process condition. The effectiveness of the proposed method was also examined by a practical example.

Suggested Citation

  • Gholamreza Hesamian & Mohamad Ghasem Akbari, 2021. "A process capability index for normal random variable with intuitionistic fuzzy information," Operational Research, Springer, vol. 21(2), pages 951-964, June.
    • Handle: RePEc:spr:operea:v:21:y:2021:i:2:d:10.1007_s12351-019-00490-4
    DOI: 10.1007/s12351-019-00490-4
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s12351-019-00490-4
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s12351-019-00490-4?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Lee, Hong Tau, 2001. "Cpk index estimation using fuzzy numbers," European Journal of Operational Research, Elsevier, vol. 129(3), pages 683-688, March.
    2. Zhuosheng Jia & Yingjun Zhang, 2019. "Interval-Valued Intuitionistic Fuzzy Multiple Attribute Group Decision Making with Uncertain Weights," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-9, March.
    3. A. Parchami & M. Mashinchi, 2010. "A new generation of process capability indices," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(1), pages 77-89.
    4. Jiangxia Nan & Ting Wang & Jingjing An, 2016. "Intuitionistic Fuzzy Distance Based TOPSIS Method and Application to MADM," International Journal of Fuzzy System Applications (IJFSA), IGI Global, vol. 5(1), pages 43-56, January.
    5. Zeinab Ramezani & Abbas Parchami & Mashaallah Mashinchi, 2011. "Fuzzy confidence regions for the Taguchi capability index," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(6), pages 977-987.
    6. Wu, Chien-Wei, 2009. "Decision-making in testing process performance with fuzzy data," European Journal of Operational Research, Elsevier, vol. 193(2), pages 499-509, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Chun-Ming Yang & Tsun-Hung Huang & Kuen-Suan Chen & Chi-Han Chen & Shiyao Li, 2022. "Fuzzy Quality Evaluation and Analysis Model for Improving the Quality of Unleaded Gasoline to Reduce Air Pollution," Mathematics, MDPI, vol. 10(15), pages 1-13, August.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Iván E. Villalón-Turrubiates & Rogelio López-Herrera & Jorge L. García-Alcaraz & José R. Díaz-Reza & Arturo Soto-Cabral & Iván González-Lazalde & Gerardo Grijalva-Avila & José L. Rodríguez-Álvarez, 2022. "A Non-Invasive Method to Evaluate Fuzzy Process Capability Indices via Coupled Applications of Artificial Neural Networks and the Placket–Burman DOE," Mathematics, MDPI, vol. 10(16), pages 1-27, August.
    2. Hong, Dug Hun, 2004. "A note on Cpk index estimation using fuzzy numbers," European Journal of Operational Research, Elsevier, vol. 158(2), pages 529-532, October.
    3. A. Parchami & M. Mashinchi, 2010. "A new generation of process capability indices," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(1), pages 77-89.
    4. Wu, Chien-Wei, 2009. "Decision-making in testing process performance with fuzzy data," European Journal of Operational Research, Elsevier, vol. 193(2), pages 499-509, March.
    5. Melda Kokoç & Süleyman Ersöz, 2021. "A literature review of interval-valued intuitionistic fuzzy multi-criteria decision-making methodologies," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 31(4), pages 89-116.
    6. Mohammad Ghasem Akbari & Gholamreza Hesamian, 2017. "Record value based on intuitionistic fuzzy random variables," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(15), pages 3305-3315, November.
    7. Cheng-Che Chen & Chun-Mei Lai & Hsiao-Yu Nien, 2010. "Measuring process capability index C pm with fuzzy data," Quality & Quantity: International Journal of Methodology, Springer, vol. 44(3), pages 529-535, April.
    8. Jung-Lin Hung & Cheng-Che Chen & Chun-Mei Lai, 2020. "Possibility Measure of Accepting Statistical Hypothesis," Mathematics, MDPI, vol. 8(4), pages 1-16, April.
    9. Ramli, Azizul Azhar & Watada, Junzo & Pedrycz, Witold, 2011. "Real-time fuzzy regression analysis: A convex hull approach," European Journal of Operational Research, Elsevier, vol. 210(3), pages 606-617, May.
    10. Chen, Kuen-Suan & Wang, Ching-Hsin & Tan, Kim-Hua, 2019. "Developing a fuzzy green supplier selection model using six sigma quality indices," International Journal of Production Economics, Elsevier, vol. 212(C), pages 1-7.
    11. Chen, Kuen-Suan & Wang, Ching-Hsin & Tan, Kim Hua & Chiu, Shun-Fung, 2019. "Developing one-sided specification six-sigma fuzzy quality index and testing model to measure the process performance of fuzzy information," International Journal of Production Economics, Elsevier, vol. 208(C), pages 560-565.
    12. Kao, Chiang & Liu, Shiang-Tai, 2003. "A mathematical programming approach to fuzzy efficiency ranking," International Journal of Production Economics, Elsevier, vol. 86(2), pages 145-154, November.
    13. Hsu, Bi-Min & Shu, Ming-Hung, 2008. "Fuzzy inference to assess manufacturing process capability with imprecise data," European Journal of Operational Research, Elsevier, vol. 186(2), pages 652-670, April.
    14. Nguyen Tho Thong & Luong Thi Hong Lan & Shuo-Yan Chou & Le Hoang Son & Do Duc Dong & Tran Thi Ngan, 2020. "An Extended TOPSIS Method with Unknown Weight Information in Dynamic Neutrosophic Environment," Mathematics, MDPI, vol. 8(3), pages 1-15, March.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:operea:v:21:y:2021:i:2:d:10.1007_s12351-019-00490-4. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.