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Reliability appraisal for consecutive- k -out-of- n :F system of non-identical components with intuitionistic fuzzy set

Author

Listed:
  • Akshay Kumar
  • S.B. Singh
  • Mangey Ram

Abstract

In this paper, the reliability of a linear (circular) consecutive k-out-of-n: F system of non-identical elements have been obtained with the help of intuitionistic fuzzy concept and Weibull lifetime distribution. The calculation of parameters of the Weibull distribution is presented by intuitionistic triangular fuzzy numbers. The Markov chain technique is employed to compute the reliability of the transition state of the system. A numerical example is also illustrated for demonstrating the reliability of the system.

Suggested Citation

  • Akshay Kumar & S.B. Singh & Mangey Ram, 2019. "Reliability appraisal for consecutive- k -out-of- n :F system of non-identical components with intuitionistic fuzzy set," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 36(3), pages 362-374.
    • Handle: RePEc:ids:ijores:v:36:y:2019:i:3:p:362-374
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    Citations

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    Cited by:

    1. Chachra, Aayushi & Kumar, Akshay & Ram, Mangey, 2023. "Intuitionistic fuzzy approach to reliability assessment of multi-state systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 212(C), pages 489-503.
    2. Ioannis S. Triantafyllou, 2023. "An Archimedean Copulas-Based Approach for m -Consecutive- k -Out-of- n : F Systems with Exchangeable Components," Stats, MDPI, vol. 6(4), pages 1-12, October.

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