Abstract
In this paper we apply the philosophy of Rough Set Theory to reduce formal context in the environment of Formal Concept Analysis. Specifically, we propose a reduction mechanism based on the consideration of bireducts and we also study several properties of the reduced contexts.
Partially supported by the State Research Agency (AEI) and the European Regional Development Fund (FEDER) project TIN2016-76653-P.
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Notes
- 1.
Since the discernibility relationship is symmetric, the discernibility matrix is a symmetric matrix.
- 2.
For simplicity, we will write \(({}^{\uparrow _1},{}^{\downarrow ^1})\) instead of \(({}^{\uparrow _{X_1\times D_1}},{}^{\downarrow ^{X_1\times D_1}})\) to denote the concept-forming operators defined on the subcontext \((X_1,D_1,R_{|X_1\times D_1})\).
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Benítez-Caballero, M.J., Medina-Moreno, J., Ramírez-Poussa, E. (2020). Bireducts in Formal Concept Analysis. In: Kóczy, L., Medina-Moreno, J., Ramírez-Poussa, E., Šostak, A. (eds) Computational Intelligence and Mathematics for Tackling Complex Problems. Studies in Computational Intelligence, vol 819. Springer, Cham. https://doi.org/10.1007/978-3-030-16024-1_24
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