Importance Measure for Fuzzy Structural Systems from the Probabilistic Perspective and Its Solving Algorithms
To effectively determine the influences of fuzzy uncertainties on structural systems in engineering, according to the fuzzy failure probability (FFP) model, which is based on the probabilistic perspective, the importance measure (IM) technique is extended to fuzzy uncertain structural systems. A nov...
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MDPI AG
2025-04-01
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| author | Guijie Li Miaomiao Zhu Sanyuan Li |
| author_facet | Guijie Li Miaomiao Zhu Sanyuan Li |
| author_sort | Guijie Li |
| collection | DOAJ |
| description | To effectively determine the influences of fuzzy uncertainties on structural systems in engineering, according to the fuzzy failure probability (FFP) model, which is based on the probabilistic perspective, the importance measure (IM) technique is extended to fuzzy uncertain structural systems. A novel IM framework, i.e., the fuzzy-failure-probability-based IM (FFP-IM), is established. By transforming the fuzzy failure probability into the expected value of the function for the failure domain, the proposed FFP-IM index can be represented as the variance-based IM of that index function. Then, an efficient solution algorithm for the proposed FFP-IM index is established based on the state-dependent parameter method. Ultimately, the Ishigami function, alongside three practical engineering examples, validates the proposed FFP-IM’s rationality and applicability. Furthermore, these examples illustrate the solution algorithm’s superior computational efficiency and accuracy. |
| format | Article |
| id | doaj-art-b5e6649fb97344f7bbadff1910f325d0 |
| institution | DOAJ |
| issn | 2076-3417 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj-art-b5e6649fb97344f7bbadff1910f325d02025-08-20T03:06:24ZengMDPI AGApplied Sciences2076-34172025-04-01157406510.3390/app15074065Importance Measure for Fuzzy Structural Systems from the Probabilistic Perspective and Its Solving AlgorithmsGuijie Li0Miaomiao Zhu1Sanyuan Li2School of Mechanics and Aerospace Engineering, Dalian University of Technology, Dalian 116024, ChinaSchool of Mechanics and Aerospace Engineering, Dalian University of Technology, Dalian 116024, ChinaAircraft Strength Research Institute, Xi’an 710065, ChinaTo effectively determine the influences of fuzzy uncertainties on structural systems in engineering, according to the fuzzy failure probability (FFP) model, which is based on the probabilistic perspective, the importance measure (IM) technique is extended to fuzzy uncertain structural systems. A novel IM framework, i.e., the fuzzy-failure-probability-based IM (FFP-IM), is established. By transforming the fuzzy failure probability into the expected value of the function for the failure domain, the proposed FFP-IM index can be represented as the variance-based IM of that index function. Then, an efficient solution algorithm for the proposed FFP-IM index is established based on the state-dependent parameter method. Ultimately, the Ishigami function, alongside three practical engineering examples, validates the proposed FFP-IM’s rationality and applicability. Furthermore, these examples illustrate the solution algorithm’s superior computational efficiency and accuracy.https://www.mdpi.com/2076-3417/15/7/4065limit state functionfuzzy variablesimportance measurestate-dependent parameter methodthe FFP |
| spellingShingle | Guijie Li Miaomiao Zhu Sanyuan Li Importance Measure for Fuzzy Structural Systems from the Probabilistic Perspective and Its Solving Algorithms Applied Sciences limit state function fuzzy variables importance measure state-dependent parameter method the FFP |
| title | Importance Measure for Fuzzy Structural Systems from the Probabilistic Perspective and Its Solving Algorithms |
| title_full | Importance Measure for Fuzzy Structural Systems from the Probabilistic Perspective and Its Solving Algorithms |
| title_fullStr | Importance Measure for Fuzzy Structural Systems from the Probabilistic Perspective and Its Solving Algorithms |
| title_full_unstemmed | Importance Measure for Fuzzy Structural Systems from the Probabilistic Perspective and Its Solving Algorithms |
| title_short | Importance Measure for Fuzzy Structural Systems from the Probabilistic Perspective and Its Solving Algorithms |
| title_sort | importance measure for fuzzy structural systems from the probabilistic perspective and its solving algorithms |
| topic | limit state function fuzzy variables importance measure state-dependent parameter method the FFP |
| url | https://www.mdpi.com/2076-3417/15/7/4065 |
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