Akshay Kumar
Department of Applied Sciences, Tula's Institute, The Engineering and Management College, Dehradun, Uttarakhand, India.

Mangey Ram
Department of Mathematics, Computer Science and Engineering, Graphic Era Deemed to be University, Dehradun, Uttarakhand, India.

DOI https://dx.doi.org/10.33889/IJMEMS.2018.3.4-037

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Abstract

This work deals with the hesitant fuzzy number and averaging operator and fuzzy reliability with the help of Weibull lifetime distribution. Fuzzy reliability function and triangular hesitant fuzzy number also computed with α-cut set of the proposed reliability function. After applying the averaging operator of hesitant theory, the results are better than simple fuzzy. Also at last, a numerical example has been shown that how the hesitant fuzzy and α-cut work in case of reliability theory.

Keywords- Hesitant fuzzy number, Membership function, Weibull distribution, Hesitant fuzzy, Averaging operator.

Citation

Kumar, A., & Ram, M. (2018). System Reliability Analysis Based On Weibull Distribution and Hesitant Fuzzy Set. International Journal of Mathematical, Engineering and Management Sciences, 3(4), 513-521. https://dx.doi.org/10.33889/IJMEMS.2018.3.4-037.