A1 Refereed original research article in a scientific journal

Defining rough sets as core-support pairs of three-valued functions



Authors: Järvinen Jouni, Radeleczki Sándor

Publisher: ELSEVIER SCIENCE INC

Publication year: 2021

Journal: International Journal of Approximate Reasoning

Journal acronym: INT J APPROX REASON

Volume: 135

First page : 71

Last page: 90

Number of pages: 20

ISSN: 0888-613X

eISSN: 1873-4731

DOI: https://doi.org/10.1016/j.ijar.2021.05.002

Web address : https://www.sciencedirect.com/science/article/pii/S0888613X21000621?via%3Dihub

Self-archived copy’s web address: http://research.utu.fi/converis/portal/detail/Publication/62083478


Abstract

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. 


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Last updated on 2024-26-11 at 13:49