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Time-dependent intuitionistic fuzzy system reliability analysis

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Abstract

The purpose of the present paper is to provide a method for constructing time-dependent reliability systems based on intuitionistic fuzzy random variables. A lifetime variable cannot be precisely recorded due to machine errors, experimentation pitfalls, personal judgments, estimation errors or other unexpected sources of error. In order to satisfy the purpose of this paper, an intuitionistic fuzzy random variable with exact parameters was introduced and adopted to evaluate the reliability functions of a k-out-of-n system, with some reliability evaluation criteria discussed and interpreted. Numerical evaluations were further presented to illustrate the calculation of the system reliability criteria in the form of intuitionistic fuzzy numbers. Finally, a number of potential engineering applications of the proposed method were presented.

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Acknowledgements

The authors would like to thank the editor and anonymous reviewers for their constructive suggestions and comments, which improved the presentation of this work.

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Authors and Affiliations

  1. Department of Statistics, University of Birjand, Birjand, 615-97175, Iran

    Mohammad Ghasem Akbari

  2. Department of Statistics, Payame Noor University, Tehran, 19395-3697, Iran

    Gholamreza Hesamian

Authors
  1. Mohammad Ghasem Akbari
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  2. Gholamreza Hesamian
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Correspondence to Gholamreza Hesamian.

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Akbari, M.G., Hesamian, G. Time-dependent intuitionistic fuzzy system reliability analysis. Soft Comput 24, 14441–14448 (2020). https://doi.org/10.1007/s00500-020-04796-w

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