Rough Sets Meet Statistics - A New View on Rough Set Reasoning About Numerical Data

In this paper, we present a new view on how the concept of rough sets may be interpreted in terms of statistics and used for reasoning about numerical data. We show that under specific assumptions, neighborhood based rough approximations may be seen as statistical estimations of certain and possible...

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Detalles Bibliográficos
Autores principales: Palangetić, Marko, Cornelis, Chris, Greco, Salvatore, Słowiński, Roman
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7338170/
http://dx.doi.org/10.1007/978-3-030-52705-1_6
Descripción
Sumario:In this paper, we present a new view on how the concept of rough sets may be interpreted in terms of statistics and used for reasoning about numerical data. We show that under specific assumptions, neighborhood based rough approximations may be seen as statistical estimations of certain and possible events. We propose a way of choosing the optimal neighborhood size inspired by statistical theory. We also discuss possible directions for future research on the integration of rough sets and statistics.

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