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A new approach for analysing the fuzzy system reliability using intuitionistic fuzzy number

Author

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  • Mohit Kumar
  • Shiv Prasad Yadav
  • Surendra Kumar

Abstract

In general, fuzzy sets are used to analyse the fuzzy system reliability. In this paper, a new approach is developed for analysing the fuzzy system reliability of series and parallel systems using intuitionistic fuzzy set theory. For analysing the fuzzy system reliability, the definition of trapezoidal intuitionistic fuzzy number is introduced and arithmetic operations between two trapezoidal intuitionistic fuzzy numbers are also introduced. Also by considering several cases, it is shown that definitions of triangular intuitionistic fuzzy number, trapezoidal fuzzy number and triangular fuzzy number are the particular cases of the definition of trapezoidal intuitionistic fuzzy number introduced in this paper. For evaluating the fuzzy reliability of a series system and a parallel system, formulae are derived. For numerical verification of proposed approach, the fuzzy reliability of the basement flooding has been analysed using the proposed approach.

Suggested Citation

  • Mohit Kumar & Shiv Prasad Yadav & Surendra Kumar, 2011. "A new approach for analysing the fuzzy system reliability using intuitionistic fuzzy number," International Journal of Industrial and Systems Engineering, Inderscience Enterprises Ltd, vol. 8(2), pages 135-156.
    • Handle: RePEc:ids:ijisen:v:8:y:2011:i:2:p:135-156
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    Cited by:

    1. Sujeet Kumar Singh & Shiv Prasad Yadav, 2016. "Intuitionistic fuzzy transportation problem with various kinds of uncertainties in parameters and variables," 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(3), pages 262-272, September.

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