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Fuzzy extensions of the dominance-based rough set approach

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Abstract
In this paper, we first review existing fuzzy extensions of the dominance-based rough set approach (DRSA), and advance the theory considering additional properties. Moreover, we examine the application of Ordered Weighted Average (OWA) operators to fuzzy DRSA. OWA operators have shown a lot of potential in handling outliers and noisy data in decision tables, when they are combined with the indiscernibility-based rough set approach (IRSA). We examine theoretical properties of the proposed hybridisation of OWA operators with fuzzy DRSA. At the end, we experimentally compare the robustness of the standard fuzzy DRSA approach with the OWA one.
Keywords
Dominance-based rough set approach, Fuzzy set theory, Ordered Weighted Average

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MLA
Palangetić, Marko, et al. “Fuzzy Extensions of the Dominance-Based Rough Set Approach.” INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, vol. 129, 2021, pp. 1–19, doi:10.1016/j.ijar.2020.10.004.
APA
Palangetić, M., Cornelis, C., Greco, S., & Słowiński, R. (2021). Fuzzy extensions of the dominance-based rough set approach. INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 129, 1–19. https://doi.org/10.1016/j.ijar.2020.10.004
Chicago author-date
Palangetić, Marko, Chris Cornelis, Salvatore Greco, and Roman Słowiński. 2021. “Fuzzy Extensions of the Dominance-Based Rough Set Approach.” INTERNATIONAL JOURNAL OF APPROXIMATE REASONING 129: 1–19. https://doi.org/10.1016/j.ijar.2020.10.004.
Chicago author-date (all authors)
Palangetić, Marko, Chris Cornelis, Salvatore Greco, and Roman Słowiński. 2021. “Fuzzy Extensions of the Dominance-Based Rough Set Approach.” INTERNATIONAL JOURNAL OF APPROXIMATE REASONING 129: 1–19. doi:10.1016/j.ijar.2020.10.004.
Vancouver
1.
Palangetić M, Cornelis C, Greco S, Słowiński R. Fuzzy extensions of the dominance-based rough set approach. INTERNATIONAL JOURNAL OF APPROXIMATE REASONING. 2021;129:1–19.
IEEE
[1]
M. Palangetić, C. Cornelis, S. Greco, and R. Słowiński, “Fuzzy extensions of the dominance-based rough set approach,” INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, vol. 129, pp. 1–19, 2021.
@article{8702907,
  abstract     = {{In this paper, we first review existing fuzzy extensions of the dominance-based rough set approach (DRSA), and advance the theory considering additional properties. Moreover, we examine the application of Ordered Weighted Average (OWA) operators to fuzzy DRSA. OWA operators have shown a lot of potential in handling outliers and noisy data in decision tables, when they are combined with the indiscernibility-based rough set approach (IRSA). We examine theoretical properties of the proposed hybridisation of OWA operators with fuzzy DRSA. At the end, we experimentally compare the robustness of the standard fuzzy DRSA approach with the OWA one.}},
  author       = {{Palangetić, Marko and Cornelis, Chris and Greco, Salvatore and Słowiński, Roman}},
  issn         = {{0888-613X}},
  journal      = {{INTERNATIONAL JOURNAL OF APPROXIMATE REASONING}},
  keywords     = {{Dominance-based rough set approach,Fuzzy set theory,Ordered Weighted Average}},
  language     = {{eng}},
  pages        = {{1--19}},
  title        = {{Fuzzy extensions of the dominance-based rough set approach}},
  url          = {{http://doi.org/10.1016/j.ijar.2020.10.004}},
  volume       = {{129}},
  year         = {{2021}},
}

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