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Characterizing One-Sided Formal Concept Analysis by Multi-Adjoint Concept Lattices

Author

Listed:
  • María José Benítez-Caballero

    (Department of Mathematics, University of Cádiz, 11510 Cádiz, Spain
    These authors contributed equally to this work.)

  • Jesús Medina

    (Department of Mathematics, University of Cádiz, 11510 Cádiz, Spain
    These authors contributed equally to this work.)

  • Eloísa Ramírez-Poussa

    (Department of Mathematics, University of Cádiz, 11510 Cádiz, Spain
    These authors contributed equally to this work.)

Abstract

Managing and extracting information from databases is one of the main goals in several fields, as in Formal Concept Analysis (FCA). One-sided concept lattices and multi-adjoint concept lattices are two frameworks in FCA that have been developed in parallel. This paper shows that one-sided concept lattices are particular cases of multi-adjoint concept lattices. As a first consequence of this characterization, a new attribute reduction mechanism has been introduced in the one-side framework.

Suggested Citation

  • María José Benítez-Caballero & Jesús Medina & Eloísa Ramírez-Poussa, 2022. "Characterizing One-Sided Formal Concept Analysis by Multi-Adjoint Concept Lattices," Mathematics, MDPI, vol. 10(7), pages 1-18, March.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:7:p:1020-:d:776904
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