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Article

A Wavelet-Based Evolving Fuzzy Framework for Fault Diagnosis in the Tennessee Eastman Process

by
Marco Antonio Márquez-Vera
1,*,
Jorge A. Ruiz-Vanoye
1,
Carlos Antonio Márquez-Vera
2,
Alfian Ma’arif
3 and
Edith Mendoza-Ramírez
1
1
Mechatronics and Automotive Engineering, Polytechnic University of Pachuca, Zempoala 43830, Hidalgo, Mexico
2
Chemical Engineering, Universidad Veracruzana, Poza Rica 93390, Veracruz, Mexico
3
Electrical Engineering, Universitas Ahmad Dahlan, Yogyakarta 55166, Indonesia
*
Author to whom correspondence should be addressed.
Algorithms 2026, 19(6), 485; https://doi.org/10.3390/a19060485
Submission received: 8 May 2026 / Revised: 1 June 2026 / Accepted: 10 June 2026 / Published: 17 June 2026

Abstract

Evolving fuzzy systems (EFS) offer an incremental learning, making them promising for fault diagnosis (FD) in industrial processes, where unknown faults and changing operation conditions are common. The evolving fuzzy structure enables incremental rule adaptation while maintaining interpretability and reduced computational complexity compared with deep learning approaches. However, the performance of EFS depends heavily on the preprocessing of input data. This study evaluates eight preprocessing strategies for EFS applied to the Tennessee Eastman benchmark process. A one-vs-rest EFS architecture was implemented for ten representative faults (IDV1, IDV2, IDV4, IDV5, IDV6, IDV7, IDV8, IDV10, IDV13 and IDV14) in order to make a comparison with other FD techniques. This approach uses seven variables selected by using the least angle regression. Preprocessing methods were applied to highlight fault signatures. Using the Daubechies-4 in the preprocessing achieved the best overall F1-score (73.68%) with a sensitivity of 97.37%, outperforming the no-preprocessing baseline (F1 = 70.67%). Per-fault analysis showed high performance for faults IDV6, IDV7, and IDV14, while IDV1, IDV2, IDV5, and IDV8 exhibited high sensitivity but lower specificity. These findings indicate that wavelet preprocessing significantly enhances EFS for FD, and that the choice of wavelet should be guided by application priorities: Daubechies-4 is recommended for maximum detection and fewer false alarms. The obtained results demonstrate that wavelet preprocessing substantially improves classification robustness and fault discrimination compared with the non-preprocessed baseline.
Keywords: evolving fuzzy systems; fault diagnosis; one-vs-rest classification; industrial process monitoring evolving fuzzy systems; fault diagnosis; one-vs-rest classification; industrial process monitoring
Graphical Abstract

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MDPI and ACS Style

Márquez-Vera, M.A.; Ruiz-Vanoye, J.A.; Márquez-Vera, C.A.; Ma’arif, A.; Mendoza-Ramírez, E. A Wavelet-Based Evolving Fuzzy Framework for Fault Diagnosis in the Tennessee Eastman Process. Algorithms 2026, 19, 485. https://doi.org/10.3390/a19060485

AMA Style

Márquez-Vera MA, Ruiz-Vanoye JA, Márquez-Vera CA, Ma’arif A, Mendoza-Ramírez E. A Wavelet-Based Evolving Fuzzy Framework for Fault Diagnosis in the Tennessee Eastman Process. Algorithms. 2026; 19(6):485. https://doi.org/10.3390/a19060485

Chicago/Turabian Style

Márquez-Vera, Marco Antonio, Jorge A. Ruiz-Vanoye, Carlos Antonio Márquez-Vera, Alfian Ma’arif, and Edith Mendoza-Ramírez. 2026. "A Wavelet-Based Evolving Fuzzy Framework for Fault Diagnosis in the Tennessee Eastman Process" Algorithms 19, no. 6: 485. https://doi.org/10.3390/a19060485

APA Style

Márquez-Vera, M. A., Ruiz-Vanoye, J. A., Márquez-Vera, C. A., Ma’arif, A., & Mendoza-Ramírez, E. (2026). A Wavelet-Based Evolving Fuzzy Framework for Fault Diagnosis in the Tennessee Eastman Process. Algorithms, 19(6), 485. https://doi.org/10.3390/a19060485

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