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Research Article | Open Access

A major random 1,3-satisfiability logic mining model in discrete Hopfield neural networks for adverse event analysis

Gaeithry Manoharam1Nur 'Afifah Rusdi2Nurshazneem Roslan2Nurul Atiqah Romli3Mohd Shareduwan Mohd Kasihmuddin1( )Nur Ezlin Zamri4Suad Abdeen1Mohd. Asyraf Mansor5Xiaoyan Liu1,6
School of Mathematical Sciences, Universiti Sains Malaysia, Penang 11800 USM, Malaysia
Department of Mathematical Sciences, Faculty of Intelligent Computing, Universiti Malaysia Perlis, Kampus Alam UniMAP, Pauh Putra, 02600 Arau, Perlis, Malaysia
Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA (UiTM) Cawangan Perlis, Arau, 02600 Perlis, Malaysia
Department of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia
School of Distance Education, Universiti Sains Malaysia, Penang 11800 USM, Malaysia
School of Integrated Circuits and New Energy, Guangzhou College of Technology and Business, 510850 Guangzhou, China
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Abstract

Logic mining in neural networks enables the extracting of interpretable symbolic knowledge from complex datasets. This study proposes a logic mining approach in discrete Hopfield neural networks based on a non-systematic major random 1,3-satisfiability (MR1,3SAT) logical structure for adverse event analysis in Alzheimer's disease datasets. The proposed model incorporates first- and third-order logical clauses to enhance representational flexibility while maintaining computational tractability. A feature selection mechanism based on Jaccard analysis is incorporated to identify relevant attributes, while the intelligent artificial bee colony algorithm is applied during the retrieval phase to refine the final neuron states. Experimental evaluation on Alzheimer's disease neuroimaging initiative datasets demonstrate that the proposed model achieves superior performance compared with existing logic mining approaches, obtaining 90.23% accuracy, 98% sensitivity, 99% specificity, and a Fowlkes-Mallows index of 93.46%. These results indicate that the MR1,3SAT-based logic mining model improves both interpretability and classification reliability for adverse event symptoms analysis in Alzheimer's disease neuroimaging initiative datasets.

CLC number: 68N17, 68R07, 68T27

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AIMS Mathematics
Pages 18081-18121

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Cite this article:
Manoharam G, Rusdi N', Roslan N, et al. A major random 1,3-satisfiability logic mining model in discrete Hopfield neural networks for adverse event analysis. AIMS Mathematics, 2026, 11(6): 18081-18121. https://doi.org/10.3934/math.2026736

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Received: 06 February 2026
Revised: 16 March 2026
Accepted: 20 March 2026
Published: 15 June 2026
©2026 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)