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Knowledge reduction in formal contexts using non-negative matrix factorization

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  • Ch., Aswani Kumar
  • Dias, Sérgio M.
  • Vieira, Newton J.

Abstract

Formal Concept Analysis (FCA) is a mathematical framework that offers conceptual data analysis and knowledge discovery. One of the main issues of knowledge discovery is knowledge reduction. The objective of this paper is to investigate the knowledge reduction in FCA and propose a method based on Non-Negative Matrix Factorization (NMF) for addressing the issue. Experiments on real world and benchmark datasets offer the evidence for the performance of the proposed method.

Suggested Citation

  • Ch., Aswani Kumar & Dias, Sérgio M. & Vieira, Newton J., 2015. "Knowledge reduction in formal contexts using non-negative matrix factorization," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 109(C), pages 46-63.
    • Handle: RePEc:eee:matcom:v:109:y:2015:i:c:p:46-63
    DOI: 10.1016/j.matcom.2014.08.004
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    References listed on IDEAS

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    1. Gerd Stumme, 2009. "Formal Concept Analysis," International Handbooks on Information Systems, in: Steffen Staab & Rudi Studer (ed.), Handbook on Ontologies, pages 177-199, Springer.
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    Cited by:

    1. Aswani Kumar Cherukuri & Radhika Shivhare & Ajith Abraham & Jinhai Li & Annapurna Jonnalagadda, 2021. "A Pragmatic Approach to Understand Hebbian Cell Assembly," International Journal of Cognitive Informatics and Natural Intelligence (IJCINI), IGI Global, vol. 15(2), pages 60-82, April.
    2. Raghavendra K. Chunduri & Aswani Kumar Cherukuri, 2018. "HaLoop Approach for Concept Generation in Formal Concept Analysis," Journal of Information & Knowledge Management (JIKM), World Scientific Publishing Co. Pte. Ltd., vol. 17(03), pages 1-24, September.
    3. Aswani Kumar Cherukuri & Radhika Shivhare & Ajith Abraham & Jinhai Li & Annapurna Jonnalagadda, 2021. "A Pragmatic Approach to Understand Hebbian Cell Assembly," International Journal of Cognitive Informatics and Natural Intelligence (IJCINI), IGI Global, vol. 15(2), pages 73-95, April.
    4. Singh, Prem Kumar, 2018. "Complex neutrosophic concept lattice and its applications to air quality analysis," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 206-213.
    5. Won Keun Min, 2020. "Attribute Reduction in Soft Contexts Based on Soft Sets and Its Application to Formal Contexts," Mathematics, MDPI, vol. 8(5), pages 1-12, May.
    6. Singh, Prem Kumar, 2017. "Complex vague set based concept lattice," Chaos, Solitons & Fractals, Elsevier, vol. 96(C), pages 145-153.

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