A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Defining rough sets as core-support pairs of three-valued functions
Tekijät: Järvinen Jouni, Radeleczki Sándor
Kustantaja: ELSEVIER SCIENCE INC
Julkaisuvuosi: 2021
Journal: International Journal of Approximate Reasoning
Lehden akronyymi: INT J APPROX REASON
Vuosikerta: 135
Aloitussivu: 71
Lopetussivu: 90
Sivujen määrä: 20
ISSN: 0888-613X
eISSN: 1873-4731
DOI: https://doi.org/10.1016/j.ijar.2021.05.002
Verkko-osoite: https://www.sciencedirect.com/science/article/pii/S0888613X21000621?via%3Dihub
Rinnakkaistallenteen osoite: http://research.utu.fi/converis/portal/detail/Publication/62083478
We answer the question what properties a collection F of three-valued functions on a set U must fulfil so that there exists a quasiorder <= on U such that the rough sets determined by <= coincide with the core-support pairs of the functions in F. Applying this characterization, we give a new representation of rough sets determined by equivalences in terms of three-valued Lukasiewicz algebras of three-valued functions.
Ladattava julkaisu This is an electronic reprint of the original article. |  |
