IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/365051.html
   My bibliography  Save this article

Reliability Analysis in Presence of Random Variables and Fuzzy Variables

Author

Listed:
  • Cui Lijie
  • Lü Zhenzhou
  • Li Guijie

Abstract

For mixed uncertainties of random variables and fuzzy variables in engineering, three indices, that is, interval reliability index, mean reliability index, and numerical reliability index, are proposed to measure safety of structure. Comparing to the reliability membership function for measuring the safety in case of mixed uncertainties, the proposed indices are more intuitive and easier to represent the safety degree of the engineering structure, and they are more suitable for the reliability design in the case of the mixed uncertainties. The differences and relations among three proposed indices are investigated, and their applicability is compared. Furthermore, a technique based on the probability density function evolution method is employed to improve the computational efficiency of the proposed indices. At last, a numerical example and two engineering examples are illustrated to demonstrate the feasibility, reasonability, and efficiency of the computational technique of the proposed indices.

Suggested Citation

  • Cui Lijie & Lü Zhenzhou & Li Guijie, 2015. "Reliability Analysis in Presence of Random Variables and Fuzzy Variables," Journal of Applied Mathematics, Hindawi, vol. 2015, pages 1-8, March.
    • Handle: RePEc:hin:jnljam:365051
    DOI: 10.1155/2015/365051
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JAM/2015/365051.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JAM/2015/365051.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2015/365051?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
    ---><---

    More about this item

    Statistics

    Access and download statistics

    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:hin:jnljam:365051. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.