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International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749


Fuzzy Reliability Based on Hesitant and Dual Hesitant Fuzzy Set Evaluation

Fuzzy Reliability Based on Hesitant and Dual Hesitant Fuzzy Set Evaluation

Akshay Kumar
Department of Mathematics, Graphic Era Hill University, Dehradun, Uttarakhand, India.

Soni Bisht
Department of Mathematics, Alpine Group of Institutes, Dehradun, Uttarakhand, India.

Nupur Goyal
Department of Mathematics, Graphic Era (Deemed to be University), Dehradun, Uttarakhand, India.

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

DOI https://doi.org/10.33889/IJMEMS.2021.6.1.010

Received on January 15, 2020
  ;
Accepted on April 27, 2020

Abstract

In this study, we calculate hesitant and dual hesitant fuzzy reliability of linear and circular consecutive 2-out-of-4:G system from reliability function and Weibull distribution. After that, we introduced some basic methods for investigating the fuzzy reliability in the form of upper and lower membership and non- membership function having an aggregation operator with equal weights. At last, two numerical examples are also illustrated with the considered technique.

Keywords- Fuzzy reliability, Hesitant fuzzy, Dual hesitant fuzzy, Triangular fuzzy number, Linear and circular consecutive k-out-of-n:G system.

Citation

Kumar, A., Bisht, S., Goyal, N., & Ram, M. (2021). Fuzzy Reliability Based on Hesitant and Dual Hesitant Fuzzy Set Evaluation. International Journal of Mathematical, Engineering and Management Sciences, 6(1), 166-179. https://doi.org/10.33889/IJMEMS.2021.6.1.010.

Conflict of Interest

The authors confirm that there is no conflict of interest to declare for this publication.

Acknowledgements

The authors sincerely thank and appreciate the editor and reviewers for their time and valuable comments.

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