IDEAS home Printed from https://ideas.repec.org/a/spr/ijsaem/v15y2024i4d10.1007_s13198-023-01906-3.html
   My bibliography  Save this article

Analysis of system reliability based on weakest t-norm arithmetic operations using Pythagorean fuzzy numbers

Author

Listed:
  • Mintu Kumar

    (G. B. Pant University of Agriculture and Technology)

  • S. B. Singh

    (G. B. Pant University of Agriculture and Technology)

Abstract

The present study incorporates the weakest t-norm (Tw) based approximate Pythagorean fuzzy arithmetic operations on different types of Pythagorean fuzzy numbers to investigate the fuzzy reliability of a weapon system. In many real-world problems, sometimes due to the absence of adequate failure data of system components, the assessment of the precise probability of failure of system components may not be an easy task. Therefore, the failure data of system components can be assumed in fuzzy form. This study extends the concept of an intuitionistic fuzzy set into a Pythagorean fuzzy set, utilizing a novel approach to address the system failure probability with quantitative failure data of system components using fault tree analysis. In complex systems, interval arithmetic operations on fuzzy numbers may lead to an increasing tendency of fuzziness. To decrease the fuzzy spread up to a desired degree of accuracy during the complicated calculations of complex systems under an imprecise environment, approximate Pythagorean fuzzy arithmetic operations are developed based on the weakest t-norm methodology. Further, the fuzzy reliability of series and parallel systems is constructed using the aforesaid approach. The proposed study has been applied to a fault in a weapon system as an illustration.

Suggested Citation

  • Mintu Kumar & S. B. Singh, 2024. "Analysis of system reliability based on weakest t-norm arithmetic operations using Pythagorean fuzzy numbers," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 15(4), pages 1467-1482, April.
    • Handle: RePEc:spr:ijsaem:v:15:y:2024:i:4:d:10.1007_s13198-023-01906-3
    DOI: 10.1007/s13198-023-01906-3
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s13198-023-01906-3
    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/s13198-023-01906-3?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. Kirti Tyagi & Arun Sharma, 2016. "Ranking of components for reliability estimation of CBSS using fuzzy TOPSIS," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 7(1), pages 41-49, December.
    2. Mintu Kumar & S.B. Singh & Deepak Kumar, 2023. "System reliability analysis based on Pythagorean fuzzy set," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 24(2), pages 253-285.
    3. Kuei-Hu Chang, 2019. "A novel supplier selection method that integrates the intuitionistic fuzzy weighted averaging method and a soft set with imprecise data," Annals of Operations Research, Springer, vol. 272(1), pages 139-157, January.
    4. Sanjay Kumar Dubey & Shivani Singh & Harsh Chaudhary, 2017. "Evaluation of reliability of critical software system using fuzzy approach," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(2), pages 1327-1335, November.
    Full references (including those not matched with items on IDEAS)

    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. Wei Xu & Hongyong Fu & Huanpeng Liu, 2019. "Evaluating the Sustainability of Microfinance Institutions Considering Macro-Environmental Factors: A Cross-Country Study," Sustainability, MDPI, vol. 11(21), pages 1-22, October.
    2. Hakan Gökhan Gündoğdu & Ahmet Aytekin & Şura Toptancı & Selçuk Korucuk & Çağlar Karamaşa, 2023. "Environmental, social, and governance risks and environmentally sensitive competitive strategies: A case study of a multinational logistics company," Business Strategy and the Environment, Wiley Blackwell, vol. 32(7), pages 4874-4906, November.
    3. Erfan Babaee Tirkolaee & Zahra Dashtian & Gerhard-Wilhelm Weber & Hana Tomaskova & Mehdi Soltani & Nasim Sadat Mousavi, 2021. "An Integrated Decision-Making Approach for Green Supplier Selection in an Agri-Food Supply Chain: Threshold of Robustness Worthiness," Mathematics, MDPI, vol. 9(11), pages 1-30, June.
    4. Federico Toffano & Michele Garraffa & Yiqing Lin & Steven Prestwich & Helmut Simonis & Nic Wilson, 2022. "A multi-objective supplier selection framework based on user-preferences," Annals of Operations Research, Springer, vol. 308(1), pages 609-640, January.
    5. Sirin Suprasongsin & Pisal Yenradee & Van-Nam Huynh, 2020. "A weight-consistent model for fuzzy supplier selection and order allocation problem," Annals of Operations Research, Springer, vol. 293(2), pages 587-605, October.
    6. Zeeshan Ali Siddiqui & Mohd. Haroon, 2024. "Ranking of components for reliability estimation of CBSS: an application of entropy weight fuzzy comprehensive evaluation model," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 15(6), pages 2438-2452, June.
    7. Kuei-Hu Chang, 2022. "A novel reliability calculation method under neutrosophic environments," Annals of Operations Research, Springer, vol. 315(2), pages 1599-1615, August.
    8. Mehdi Rajabi Asadabadi & Hadi Badri Ahmadi & Himanshu Gupta & James J. H. Liou, 2023. "Supplier selection to support environmental sustainability: the stratified BWM TOPSIS method," Annals of Operations Research, Springer, vol. 322(1), pages 321-344, 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:ijsaem:v:15:y:2024:i:4:d:10.1007_s13198-023-01906-3. 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.