A New Evidential Reasoning Rule Considering Evidence Correlation with Maximum Information Coefficient and Application in Fault Diagnosis
The evidential reasoning (ER) rule has been widely adopted in engineering fault diagnosis, yet its conventional implementations inherently neglect evidence correlations due to the foundational independence assumption required for Bayesian inference. This limitation becomes particularly critical in p...
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MDPI AG
2025-05-01
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| author | Shanshan Liu Guanyu Hu Shaohua Du Hongwei Gao Liang Chang |
| author_facet | Shanshan Liu Guanyu Hu Shaohua Du Hongwei Gao Liang Chang |
| author_sort | Shanshan Liu |
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| description | The evidential reasoning (ER) rule has been widely adopted in engineering fault diagnosis, yet its conventional implementations inherently neglect evidence correlations due to the foundational independence assumption required for Bayesian inference. This limitation becomes particularly critical in practical scenarios where heterogeneous evidence collected from diverse sensor types exhibits significant correlations. Existing correlation processing methods fail to comprehensively address both linear and nonlinear correlations inherent in such heterogeneous evidence systems. To resolve these theoretical and practical constraints, this study develops MICER—a novel ER framework that incorporates correlation analysis based on the maximum mutual information coefficient (MIC). The proposed methodology advances ER theory by systematically integrating evidence interdependencies, thereby expanding both the theoretical boundaries of ER rules and their applicability in real-world fault diagnosis. Flange ring loosening fault diagnosis and flywheel system fault diagnosis cases are experimentally verified and the effectiveness of the method is demonstrated. |
| format | Article |
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| institution | OA Journals |
| issn | 1424-8220 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | MDPI AG |
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| spelling | doaj-art-3f1d35191fb44cf69861a0c84b0a83c22025-08-20T02:33:48ZengMDPI AGSensors1424-82202025-05-012510311110.3390/s25103111A New Evidential Reasoning Rule Considering Evidence Correlation with Maximum Information Coefficient and Application in Fault DiagnosisShanshan Liu0Guanyu Hu1Shaohua Du2Hongwei Gao3Liang Chang4Guangxi Key Laboratory of Trusted Software, Guilin University of Electronic Technology, Guilin 541004, ChinaKey Laboratory of the Ministry of Education, Guilin University of Electronic Technology, Guilin 541004, ChinaGuangxi Key Laboratory of Trusted Software, Guilin University of Electronic Technology, Guilin 541004, ChinaGuangxi Key Laboratory of Trusted Software, Guilin University of Electronic Technology, Guilin 541004, ChinaGuangxi Key Laboratory of Trusted Software, Guilin University of Electronic Technology, Guilin 541004, ChinaThe evidential reasoning (ER) rule has been widely adopted in engineering fault diagnosis, yet its conventional implementations inherently neglect evidence correlations due to the foundational independence assumption required for Bayesian inference. This limitation becomes particularly critical in practical scenarios where heterogeneous evidence collected from diverse sensor types exhibits significant correlations. Existing correlation processing methods fail to comprehensively address both linear and nonlinear correlations inherent in such heterogeneous evidence systems. To resolve these theoretical and practical constraints, this study develops MICER—a novel ER framework that incorporates correlation analysis based on the maximum mutual information coefficient (MIC). The proposed methodology advances ER theory by systematically integrating evidence interdependencies, thereby expanding both the theoretical boundaries of ER rules and their applicability in real-world fault diagnosis. Flange ring loosening fault diagnosis and flywheel system fault diagnosis cases are experimentally verified and the effectiveness of the method is demonstrated.https://www.mdpi.com/1424-8220/25/10/3111evidential reasoning rulecorrelationmaximum mutual information coefficientfault diagnosis |
| spellingShingle | Shanshan Liu Guanyu Hu Shaohua Du Hongwei Gao Liang Chang A New Evidential Reasoning Rule Considering Evidence Correlation with Maximum Information Coefficient and Application in Fault Diagnosis Sensors evidential reasoning rule correlation maximum mutual information coefficient fault diagnosis |
| title | A New Evidential Reasoning Rule Considering Evidence Correlation with Maximum Information Coefficient and Application in Fault Diagnosis |
| title_full | A New Evidential Reasoning Rule Considering Evidence Correlation with Maximum Information Coefficient and Application in Fault Diagnosis |
| title_fullStr | A New Evidential Reasoning Rule Considering Evidence Correlation with Maximum Information Coefficient and Application in Fault Diagnosis |
| title_full_unstemmed | A New Evidential Reasoning Rule Considering Evidence Correlation with Maximum Information Coefficient and Application in Fault Diagnosis |
| title_short | A New Evidential Reasoning Rule Considering Evidence Correlation with Maximum Information Coefficient and Application in Fault Diagnosis |
| title_sort | new evidential reasoning rule considering evidence correlation with maximum information coefficient and application in fault diagnosis |
| topic | evidential reasoning rule correlation maximum mutual information coefficient fault diagnosis |
| url | https://www.mdpi.com/1424-8220/25/10/3111 |
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