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Reliability analysis with triangular hesitant fuzzy pareto life distribution

Publish place: Journal of Fuzzy Extension & Applications، Vol: 5، Issue: 4
Publish Year: 1403
Type: Journal paper
Language: English
View: 78

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Link to this Paper:
https://civilica.com/doc/2152173

Document National Code:

JR_JFEA-5-4_003

Index date: 8 January 2025

Reliability analysis with triangular hesitant fuzzy pareto life distribution abstract

Recently, a unique extension of fuzzy sets known as hesitant fuzzy sets has been established to address hesitant cases that previous methods were unable to manage adequately. In this paper, the triangular hesitant fuzzy sets approach has been employed to explore the inherent uncertainty within the parameters of the life distribution. Two essential reliability measures, triangular hesitant fuzzy reliability and the hazard rate function designed for the Pareto Type I life distribution, have been established. Moreover, the triangular hesitant fuzzy reliability measure is utilized to assess the reliability of series and parallel systems. Furthermore, the weighted averaging operator has been used on both the series and parallel systems, making them more reliable and giving much better results than hesitant fuzzy sets. Finally, a numerical example demonstrating the use of these techniques is provided, and the results are presented in tabular and graphical formats.

Reliability analysis with triangular hesitant fuzzy pareto life distribution Keywords:

Hesitant fuzzy sets , triangular fuzzy numbers , hesitant fuzzy reliability , Pareto type I distribution , weighted averaging operator

Reliability analysis with triangular hesitant fuzzy pareto life distribution authors

Abdul Kalam

School of Mathematics, Statistics and Mechanics, Beijing University of Technology, Beijing ۱۰۰۱۲۴, China.

Weihu Cheng

School of Mathematics, Statistics and Mechanics, Beijing University of Technology, Beijing ۱۰۰۱۲۴, China.

Mohammad Ahmad

School of Mathematics, Statistics and Mechanics, Beijing University of Technology, Beijing ۱۰۰۱۲۴, China.

Randa Makled

School of Mathematics, Statistics and Mechanics, Beijing University of Technology, Beijing ۱۰۰۱۲۴, China.

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