Verified Explainability Core: a GD-ANFIS/SHAP Hybrid Architecture for XAI 2.0
Main Article Content
Abstract
This paper proposes a hybrid Explainable AI architecture that fuses a fully differentiable neuro-fuzzy GD-ANFIS model with the post-hoc SHAP method. The integration is designed to meet XAI 2.0 principles, which call for explanations that are transparent, verifiable, and adaptable at the same time. GD-ANFIS produces human-readable Takagi-Sugeno rules, ensuring structural interpretability, whereas SHAP delivers quantitative feature contributions derived from Shapley theory. To merge these layers, we introduce a comparative-audit mechanism that automatically matches the sets of key features identified by both methods, checks whether the directions of influence coincide, and assesses the consistency between SHAP numerical scores and GD-ANFIS linguistic rules. Such dual-loop on global soil-subsidence mapping, and RMSE 2.30 and 2.36 on Boston Housing and surface-water-quality monitoring respectively, all with full interpretability preserved. In every case, top-feature overlap between the two explanation layers exceeded 60%, demonstrating strong agreement between structural and numerical interpretations. The proposed architecture therefore offers a practical foundation for responsible XAI 2.0 deployment in critical domains ranging from medicine and ecology to geoinformation systems and finance.
Article Details
References
2. Rudin C. Stop explaining black box machine learning models for high‑stakes decisions and use interpretable models instead // Nature Machine Intelligence. 2019. Vol. 1, No. 5. P. 206–215. https://doi.org/10.1038/s42256-019-0048-x
3. Lundberg S.M., Lee S.-I. A unified approach to interpreting model predictions // Advances in Neural Information Processing Systems. 2017. Vol. 30. P. 4765–4774. https://doi.org/10.48550/arXiv.1705.07874
4. Ribeiro M.T., Singh S., Guestrin C. “Why Should I Trust You?” Explaining the predictions of any classifier // Proceedings of the 22nd ACM SIGKDD International Conference on Knowledge Discovery and Data Mining. 2016. P. 1135–1144. https://doi.org/10.1145/2939672.2939778
5. Lipton Z.C. The mythos of model interpretability // Communications of the ACM. 2018. Vol. 61, no. 10. P. 36–43. https://doi.org/10.1145/3233231
6. Doshi-Velez F., Kim B. Towards a rigorous science of interpretable machine learning // arXiv preprint. 2017. arXiv:1702.08608. https://doi.org/10.48550/arXiv.1702.08608
7. Jang J.S.R. ANFIS: Adaptive-network-based fuzzy inference system // IEEE Transactions on Systems, Man, and Cybernetics. 1993. Vol. 23, no. 3. P. 665–685 https://doi.org/10.1109/21.256541
8. Zadeh L.A. Fuzzy sets // Information and Control. 1965. Vol. 8, No. 3. P. 338–353. https://doi.org/10.1016/S0019-9958(65)90241-X
9. Trofimov Y.V., Averkin A.N. The relationship between trusted artificial intelligence and XAI 2.0: theory and frameworks // Soft Measurements and Computing. 2025. Vol. 90, No. 5. P. 68–84. https://doi.org/10.36871/2618-9976.2025.05.006
10. Takagi T., Sugeno M. Fuzzy identification of systems and its applications to modeling and control // IEEE Transactions on Systems, Man, and Cybernetics. 1985. Vol. 15, No. 1. P. 116–132. https://doi.org/10.1109/TSMC.1985.6313399
11. Nguyen T., Mirjalili S. X‑ANFIS: explainable adaptive neuro‑fuzzy inference system: repository. Электрон. ресурс // GitHub. 2023. Дата обращения: 15.01.2025.
12. Shapley L.S. A value for n‑person games // Contributions to the Theory of Games, vol. 2. Princeton University Press. 1953. P. 307–317. https://doi.org/10.1515/9781400881970-018
13. Breiman L. Random forests // Machine Learning. 2001. Vol. 45, no. 1. P. 5–32. https://doi.org/10.1023/A:1010933404324
14. Comprehensive surface water quality monitoring dataset (1940–2023): dataset. Электрон. ресурс // Figshare. 2025. https://doi.org/10.6084/m9.figshare.27800394. Дата обращения: июль 2025.
15. Hasan M.F., Smith R., Vajedian S., Majumdar S., Pommerenke R. Global land subsidence mapping reveals widespread loss of aquifer storage capacity // Nature Communications. 2023. Vol. 14. Art. 6180. https://doi.org/10.1038/s41467-023-41933-z

This work is licensed under a Creative Commons Attribution 4.0 International License.
Presenting an article for publication in the Russian Digital Libraries Journal (RDLJ), the authors automatically give consent to grant a limited license to use the materials of the Kazan (Volga) Federal University (KFU) (of course, only if the article is accepted for publication). This means that KFU has the right to publish an article in the next issue of the journal (on the website or in printed form), as well as to reprint this article in the archives of RDLJ CDs or to include in a particular information system or database, produced by KFU.
All copyrighted materials are placed in RDLJ with the consent of the authors. In the event that any of the authors have objected to its publication of materials on this site, the material can be removed, subject to notification to the Editor in writing.
Documents published in RDLJ are protected by copyright and all rights are reserved by the authors. Authors independently monitor compliance with their rights to reproduce or translate their papers published in the journal. If the material is published in RDLJ, reprinted with permission by another publisher or translated into another language, a reference to the original publication.
By submitting an article for publication in RDLJ, authors should take into account that the publication on the Internet, on the one hand, provide unique opportunities for access to their content, but on the other hand, are a new form of information exchange in the global information society where authors and publishers is not always provided with protection against unauthorized copying or other use of materials protected by copyright.
RDLJ is copyrighted. When using materials from the log must indicate the URL: index.phtml page = elbib / rus / journal?. Any change, addition or editing of the author's text are not allowed. Copying individual fragments of articles from the journal is allowed for distribute, remix, adapt, and build upon article, even commercially, as long as they credit that article for the original creation.
Request for the right to reproduce or use any of the materials published in RDLJ should be addressed to the Editor-in-Chief A.M. Elizarov at the following address: amelizarov@gmail.com.
The publishers of RDLJ is not responsible for the view, set out in the published opinion articles.
We suggest the authors of articles downloaded from this page, sign it and send it to the journal publisher's address by e-mail scan copyright agreements on the transfer of non-exclusive rights to use the work.