Rough sets based on Galois connections

• Autorzy: Madrid Nicolás , Medina Jesús , Ramírez-Poussa Eloísa

Identyfikatory

DOI

10.34768/amcs-2020-0023

• Języki publikacji: EN

Abstrakty

EN

Rough set theory is an important tool to extract knowledge from relational databases. The original definitions of approximation operators are based on an indiscernibility relation, which is an equivalence one. Lately, different papers have motivated the possibility of considering arbitrary relations. Nevertheless, when those are taken into account, the original definitions given by Pawlak may lose fundamental properties. This paper proposes a possible solution to the arising problems by presenting an alternative definition of approximation operators based on the closure and interior operators obtained from an isotone Galois connection. We prove that the proposed definition satisfies interesting properties and that it also improves object classification tasks.

Słowa kluczowe

EN

rough sets; Galois connection; approximation operator

PL

zbiór przybliżony; połączenie Galois; operator aproksymacji

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2020
• Tom: Vol. 30, no. 2
• Strony: 299--313
• Opis fizyczny: Bibliogr. 66 poz., tab.

Twórcy

autor

Madrid Nicolás

• Department of Applied Mathematics, University of Málaga, Arquitecto Francisco Peñalosa, 6, 29071, Málaga, Spain

autor

Medina Jesús

• Department of Mathematics, University of Cádiz, Campus Río San Pedro, 11519, Puerto Real, Cádiz, Spain

autor

Ramírez-Poussa Eloísa

• Department of Mathematics, University of Cádiz, Campus Río San Pedro, 11519, Puerto Real, Cádiz, Spain

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).