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A Dual Hesitant Fuzzy Set Theoretic Approach in Fuzzy Reliability Analysis of a Fuzzy System |
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PP: 433-440 |
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doi:10.18576/isl/130219
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Author(s) |
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Laxmi Rathour,
Vinay Singh,
Harendra Yadav,
M. K. Sharma,
Vishnu N. Mishra,
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Abstract |
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| In this research work we investigated a dual hesitant fuzzy set theoretic approach with inverse Weibull distribution. It is a very common problem that many times data/information used to produce a system/equipment may have uncertainties. Dual hesitant fuzzy set (DHFS) plays an important role in reducing the effectiveness of such uncertainties. DHFS is a helpful alternative to handle situations where experts fail to provide a single choice of their satisfaction or rejection. DHFS is the superset of hesitant fuzzy set or intuitionistic fuzzy set or fuzzy set. In this research work, we proposed a method using DHFS as well as inverse Weibull distribution (IWD). With the help of IWD, it is easy to model failure rate of systems at various levels, which commonly takes place in reliability cases. Fuzzy IWD is used to get the fuzzy reliability of system’s suffering failure during their life. Based on𝛼-cut, a DHFS method is introduced. DHFS overcomes the results obtained by traditional methods because it is superior to hesitant fuzzy set theory as it includes multi gradings/choice for a single case. The dominance and importance of this method is verified by giving numerical examples.
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