Reliability analysis with triangular hesitant fuzzy pareto life distribution
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 p...
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| Format: | Article |
| Language: | English |
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Ayandegan Institute of Higher Education,
2024-12-01
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| Series: | Journal of Fuzzy Extension and Applications |
| Subjects: | |
| Online Access: | https://www.journal-fea.com/article_202833_585b33865632ada618ff125e9197cb7d.pdf |
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| author | Abdul Kalam Weihu Cheng Mohammad Ahmad Randa Makled |
| author_facet | Abdul Kalam Weihu Cheng Mohammad Ahmad Randa Makled |
| author_sort | Abdul Kalam |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-badcfd00715d400a8d9fbcca2648064f |
| institution | Kabale University |
| issn | 2783-1442 2717-3453 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Ayandegan Institute of Higher Education, |
| record_format | Article |
| series | Journal of Fuzzy Extension and Applications |
| spelling | doaj-art-badcfd00715d400a8d9fbcca2648064f2025-01-30T15:07:17ZengAyandegan Institute of Higher Education,Journal of Fuzzy Extension and Applications2783-14422717-34532024-12-015456057210.22105/jfea.2024.451022.1435202833Reliability analysis with triangular hesitant fuzzy pareto life distributionAbdul Kalam0Weihu Cheng1Mohammad Ahmad2Randa Makled3School of Mathematics, Statistics and Mechanics, Beijing University of Technology, Beijing 100124, China.School of Mathematics, Statistics and Mechanics, Beijing University of Technology, Beijing 100124, China.School of Mathematics, Statistics and Mechanics, Beijing University of Technology, Beijing 100124, China.School of Mathematics, Statistics and Mechanics, Beijing University of Technology, Beijing 100124, China.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.https://www.journal-fea.com/article_202833_585b33865632ada618ff125e9197cb7d.pdfhesitant fuzzy setstriangular fuzzy numbershesitant fuzzy reliabilitypareto type i distributionweighted averaging operator |
| spellingShingle | Abdul Kalam Weihu Cheng Mohammad Ahmad Randa Makled Reliability analysis with triangular hesitant fuzzy pareto life distribution Journal of Fuzzy Extension and Applications hesitant fuzzy sets triangular fuzzy numbers hesitant fuzzy reliability pareto type i distribution weighted averaging operator |
| title | Reliability analysis with triangular hesitant fuzzy pareto life distribution |
| title_full | Reliability analysis with triangular hesitant fuzzy pareto life distribution |
| title_fullStr | Reliability analysis with triangular hesitant fuzzy pareto life distribution |
| title_full_unstemmed | Reliability analysis with triangular hesitant fuzzy pareto life distribution |
| title_short | Reliability analysis with triangular hesitant fuzzy pareto life distribution |
| title_sort | reliability analysis with triangular hesitant fuzzy pareto life distribution |
| topic | hesitant fuzzy sets triangular fuzzy numbers hesitant fuzzy reliability pareto type i distribution weighted averaging operator |
| url | https://www.journal-fea.com/article_202833_585b33865632ada618ff125e9197cb7d.pdf |
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