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Systems reliability assessment using hesitant fuzzy set

Author

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

Abstract

The present study deals with fuzzy reliability evaluation series, parallel and linear (circular) consecutive k-out-of-n: F systems. Fuzzy reliability of series, parallel systems have been evaluated to help of hesitant fuzzy sets and triangular fuzzy number, whereas fuzzy reliability of linear (circular) consecutive k-out-of-n: F systems have been determined with the help of application of Weibull distribution and Markov process in comporting hesitant fuzzy sets and triangular fuzzy number. Numerical examples are also provided to demonstrate the effectiveness of the proposed approach.

Suggested Citation

  • Akshay Kumar & S.B. Singh & Mangey Ram, 2020. "Systems reliability assessment using hesitant fuzzy set," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 38(1), pages 1-18.
    • Handle: RePEc:ids:ijores:v:38:y:2020:i:1:p:1-18
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    Citations

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    Cited by:

    1. Chaube, Shshank & Joshi, Dheeraj Kumar & Ujarari, Chandan Singh, 2023. "Hesitant Bifuzzy Set (an introduction): A new approach to assess the reliability of the systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 205(C), pages 98-107.
    2. Nandi, Sandip & Granata, Giuseppe & Jana, Subrata & Ghorui, Neha & Mondal, Sankar Prasad & Bhaumik, Moumita, 2023. "Evaluation of the treatment options for COVID-19 patients using generalized hesitant fuzzy- multi criteria decision making techniques," Socio-Economic Planning Sciences, Elsevier, vol. 88(C).

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