Failure Probability Analysis of Coherent Systems using Intuitionistic Fuzzy Fault Tree Approach
In scenarios where system component failure probabilities are insufficient or imprecise, classical fault tree analysis methods often fail in providing precise assessments of system reliability and safety. This limitation arises because classical fault tree analysis relies on precise data and probabi...
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Ram Arti Publishers
2025-04-01
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| Series: | International Journal of Mathematical, Engineering and Management Sciences |
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| Online Access: | https://www.ijmems.in/cms/storage/app/public/uploads/volumes/30-IJMEMS-24-0705-10-2-583-597-2025.pdf |
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| author | Mintu Kumar S. B. Singh Monika Manglik |
| author_facet | Mintu Kumar S. B. Singh Monika Manglik |
| author_sort | Mintu Kumar |
| collection | DOAJ |
| description | In scenarios where system component failure probabilities are insufficient or imprecise, classical fault tree analysis methods often fail in providing precise assessments of system reliability and safety. This limitation arises because classical fault tree analysis relies on precise data and probabilistic measures, which may not adequately capture inherent uncertainties and vagueness in real-world environments. Therefore, a general approach is required to reliably predict and diagnose system failures that incorporates the uncertainties inherent in failure data. The fuzzy sets effectively manage imprecise information and serve as a robust foundation to address ambiguity in real-world failure scenarios. Additionally, the use of intuitionistic fuzzy sets further enhances this framework by considering both membership and non-membership degrees, thereby providing a more comprehensive and precise reliability assessment. Therefore, in the current study, the intuitionistic fuzzy set theory is proposed to handle the inherent uncertainty in reliability assessments. Furthermore, triangular intuitionistic fuzzy numbers are used to represent the failure probabilities of the system components. The proposed method integrates intuitionistic fuzzy set theory with fault tree analysis to determine the reliability and failure probability of a rope on a crane, and the computed results are compared with the results of existing methods. |
| format | Article |
| id | doaj-art-d613d9ffb64c47ddafe83bce916feb74 |
| institution | Kabale University |
| issn | 2455-7749 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | Ram Arti Publishers |
| record_format | Article |
| series | International Journal of Mathematical, Engineering and Management Sciences |
| spelling | doaj-art-d613d9ffb64c47ddafe83bce916feb742025-02-07T16:48:32ZengRam Arti PublishersInternational Journal of Mathematical, Engineering and Management Sciences2455-77492025-04-01102583597https://doi.org/10.33889/IJMEMS.2025.10.2.030Failure Probability Analysis of Coherent Systems using Intuitionistic Fuzzy Fault Tree Approach Mintu Kumar0S. B. Singh 1Monika Manglik2Department of Sciences, Quantum University, Roorkee, Uttarakhand, India.Department of Mathematics Statistics and Computer Science, G. B. Pant University of Agriculture and Technology, Pantnagar, Uttarakhand, India.Department of Mathematics, Applied Science Cluster, University of Petroleum and Energy Studies, Bidholi, Dehradun, Uttarakhand, India.In scenarios where system component failure probabilities are insufficient or imprecise, classical fault tree analysis methods often fail in providing precise assessments of system reliability and safety. This limitation arises because classical fault tree analysis relies on precise data and probabilistic measures, which may not adequately capture inherent uncertainties and vagueness in real-world environments. Therefore, a general approach is required to reliably predict and diagnose system failures that incorporates the uncertainties inherent in failure data. The fuzzy sets effectively manage imprecise information and serve as a robust foundation to address ambiguity in real-world failure scenarios. Additionally, the use of intuitionistic fuzzy sets further enhances this framework by considering both membership and non-membership degrees, thereby providing a more comprehensive and precise reliability assessment. Therefore, in the current study, the intuitionistic fuzzy set theory is proposed to handle the inherent uncertainty in reliability assessments. Furthermore, triangular intuitionistic fuzzy numbers are used to represent the failure probabilities of the system components. The proposed method integrates intuitionistic fuzzy set theory with fault tree analysis to determine the reliability and failure probability of a rope on a crane, and the computed results are compared with the results of existing methods.https://www.ijmems.in/cms/storage/app/public/uploads/volumes/30-IJMEMS-24-0705-10-2-583-597-2025.pdffault treecoherent systemintuitionistic fuzzy setsfuzzy failure probabilityfuzzy reliability |
| spellingShingle | Mintu Kumar S. B. Singh Monika Manglik Failure Probability Analysis of Coherent Systems using Intuitionistic Fuzzy Fault Tree Approach International Journal of Mathematical, Engineering and Management Sciences fault tree coherent system intuitionistic fuzzy sets fuzzy failure probability fuzzy reliability |
| title | Failure Probability Analysis of Coherent Systems using Intuitionistic Fuzzy Fault Tree Approach |
| title_full | Failure Probability Analysis of Coherent Systems using Intuitionistic Fuzzy Fault Tree Approach |
| title_fullStr | Failure Probability Analysis of Coherent Systems using Intuitionistic Fuzzy Fault Tree Approach |
| title_full_unstemmed | Failure Probability Analysis of Coherent Systems using Intuitionistic Fuzzy Fault Tree Approach |
| title_short | Failure Probability Analysis of Coherent Systems using Intuitionistic Fuzzy Fault Tree Approach |
| title_sort | failure probability analysis of coherent systems using intuitionistic fuzzy fault tree approach |
| topic | fault tree coherent system intuitionistic fuzzy sets fuzzy failure probability fuzzy reliability |
| url | https://www.ijmems.in/cms/storage/app/public/uploads/volumes/30-IJMEMS-24-0705-10-2-583-597-2025.pdf |
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