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

María José Benítez-Caballero, Jesús Medina and Eloísa Ramírez-Poussa
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María José Benítez-Caballero: Department of Mathematics, University of Cádiz, 11510 Cádiz, Spain
Jesús Medina: Department of Mathematics, University of Cádiz, 11510 Cádiz, Spain
Eloísa Ramírez-Poussa: Department of Mathematics, University of Cádiz, 11510 Cádiz, Spain

Mathematics, 2022, vol. 10, issue 7, 1-18

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.

Keywords: one-sided formal concept analysis; formal concept analysis; adjoint triple; attribute reduction; reduct (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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