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Rough sets meet statistics : a new view on rough set reasoning about numerical data

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Abstract
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.
Keywords
Rough Sets, Statistical Learning, Neighborhood Based Rough Sets}

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MLA
Palangetić, Marko, et al. “Rough Sets Meet Statistics : A New View on Rough Set Reasoning about Numerical Data.” Rough Sets, International Joint Conference, IJCRS 2020, vol. 12179, Springer, 2020, pp. 78–92, doi:10.1007/978-3-030-52705-1_6.
APA
Palangetić, M., Cornelis, C., Greco, S., & Słowiński, R. (2020). Rough sets meet statistics : a new view on rough set reasoning about numerical data. In Rough sets, International joint conference, IJCRS 2020 (Vol. 12179, pp. 78–92). Cham: Springer. https://doi.org/10.1007/978-3-030-52705-1_6
Chicago author-date
Palangetić, Marko, Chris Cornelis, Salvatore Greco, and Roman Słowiński. 2020. “Rough Sets Meet Statistics : A New View on Rough Set Reasoning about Numerical Data.” In Rough Sets, International Joint Conference, IJCRS 2020, 12179:78–92. Cham: Springer. https://doi.org/10.1007/978-3-030-52705-1_6.
Chicago author-date (all authors)
Palangetić, Marko, Chris Cornelis, Salvatore Greco, and Roman Słowiński. 2020. “Rough Sets Meet Statistics : A New View on Rough Set Reasoning about Numerical Data.” In Rough Sets, International Joint Conference, IJCRS 2020, 12179:78–92. Cham: Springer. doi:10.1007/978-3-030-52705-1_6.
Vancouver
1.
Palangetić M, Cornelis C, Greco S, Słowiński R. Rough sets meet statistics : a new view on rough set reasoning about numerical data. In: Rough sets, International joint conference, IJCRS 2020. Cham: Springer; 2020. p. 78–92.
IEEE
[1]
M. Palangetić, C. Cornelis, S. Greco, and R. Słowiński, “Rough sets meet statistics : a new view on rough set reasoning about numerical data,” in Rough sets, International joint conference, IJCRS 2020, Havana, Cuba, 2020, vol. 12179, pp. 78–92.
@inproceedings{8702909,
  abstract     = {{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.}},
  author       = {{Palangetić, Marko and Cornelis, Chris and Greco, Salvatore and Słowiński, Roman}},
  booktitle    = {{Rough sets, International joint conference, IJCRS 2020}},
  isbn         = {{9783030527044}},
  issn         = {{0302-9743}},
  keywords     = {{Rough Sets,Statistical Learning,Neighborhood Based Rough Sets}}},
  language     = {{eng}},
  location     = {{Havana, Cuba}},
  pages        = {{78--92}},
  publisher    = {{Springer}},
  title        = {{Rough sets meet statistics : a new view on rough set reasoning about numerical data}},
  url          = {{http://dx.doi.org/10.1007/978-3-030-52705-1_6}},
  volume       = {{12179}},
  year         = {{2020}},
}

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