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Fully & partially-transmitted-rule fusion: A novel hierarchical fuzzy classification with application to nasopharyngeal cancer’s metastasis prediction

Publication ,  Journal Article
Zhou, T; Yang, Y; Yan, W; Liu, W; Yang, X; Ding, W; Cai, J; Wang, S
Published in: Fuzzy Sets and Systems
March 15, 2026

Distant metastasis (DM) as a major cause of treatment failure of nasopharyngeal cancer (NPC) actually occurs with a considerably gradual development in the early stage. Therefore, an ideal DM prediction model should be an efficient and interpretable model and simultaneously reflect/simulate this characteristic during its training. Towards such a goal, this study proposes a hierarchical Takagi-Sugeno-Kang (TSK) fuzzy classifier (H-TSKFC) to assure both enhanced classification performance and diversified generation of interpretable fuzzy rules therein through full-partial-rule-transmission fusion for simulating gradual development of DM. Profiting from full-partial-rule-transmission fusion between sub-classifiers, H-TSKFC was endowed with the following benefits. Firstly, a novel stacking mechanism without any use of residuals between sub-classifiers enhances its generalization capability. Secondly, the generation of interpretable fuzzy rules from the second TSK fuzzy sub-classifier provides a diversified way. That is, its useful rules fusion transmitted fully or partially from previous sub-classifier guarantees considerable consistency between sub-classifiers, while its remaining rules reflect gradual difference between them. In this way, the H-TSKFC’s structure naturally mimics the gradual development of DM. Finally, each sub-classifier therein can be trained sequentially and quickly with an analytical solution to accomplish an individual prediction on the original inputs and outputs. Experimental results indeed demonstrate that H-TSKFC possesses linguistic interpretability, along with considerable classification and generalization performance.

Duke Scholars

Published In

Fuzzy Sets and Systems

DOI

ISSN

0165-0114

Publication Date

March 15, 2026

Volume

527

Related Subject Headings

  • Artificial Intelligence & Image Processing
  • 4904 Pure mathematics
  • 4903 Numerical and computational mathematics
  • 4602 Artificial intelligence
  • 0801 Artificial Intelligence and Image Processing
  • 0101 Pure Mathematics
 

Citation

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Zhou, T., Yang, Y., Yan, W., Liu, W., Yang, X., Ding, W., … Wang, S. (2026). Fully & partially-transmitted-rule fusion: A novel hierarchical fuzzy classification with application to nasopharyngeal cancer’s metastasis prediction (Accepted). Fuzzy Sets and Systems, 527. https://doi.org/10.1016/j.fss.2025.109695
Zhou, T., Y. Yang, W. Yan, W. Liu, X. Yang, W. Ding, J. Cai, and S. Wang. “Fully & partially-transmitted-rule fusion: A novel hierarchical fuzzy classification with application to nasopharyngeal cancer’s metastasis prediction (Accepted).” Fuzzy Sets and Systems 527 (March 15, 2026). https://doi.org/10.1016/j.fss.2025.109695.
Journal cover image

Published In

Fuzzy Sets and Systems

DOI

ISSN

0165-0114

Publication Date

March 15, 2026

Volume

527

Related Subject Headings

  • Artificial Intelligence & Image Processing
  • 4904 Pure mathematics
  • 4903 Numerical and computational mathematics
  • 4602 Artificial intelligence
  • 0801 Artificial Intelligence and Image Processing
  • 0101 Pure Mathematics