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Abstract
There exist two formulations of rough sets: the conceptual and computational one. The conceptual or semantical approach of rough set theory focuses on the meaning and interpretation of concepts, while algorithms to compute those concepts are studied in the computational formulation. However, the research on the former is rather limited. In this paper, we focus on a semantically sound approach of Pawlak's rough set model and covering-based rough set models. Furthermore, we illustrate that the dominance-based rough set model can be rephrased using this semantic approach.
Keywords
covering-based rough sets, dominance-based rough sets, semantics, pre-order, APPROXIMATION OPERATORS

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MLA
D’eer, Lynn, Chris Cornelis, and Yiyu Yao. “A Semantical Approach to Rough Sets and Dominance-based Rough Sets.” Information Processing and Management of Uncertainty in Knowledge-based Systems, IPMU 2016, Pt. II. Ed. JP Carvalho et al. Vol. 611. Cham, Switzerland: Springer, 2016. 23–35. Print.
APA
D’eer, L., Cornelis, C., & Yao, Y. (2016). A semantical approach to rough sets and dominance-based rough sets. In J. Carvalho, M. Lesot, U. Kaymak, B. BouchonMeunier, & R. Yager (Eds.), Information processing and management of uncertainty in knowledge-based systems, IPMU 2016, pt. II (Vol. 611, pp. 23–35). Cham, Switzerland: Springer.
Chicago author-date
D’eer, Lynn, Chris Cornelis, and Yiyu Yao. 2016. “A Semantical Approach to Rough Sets and Dominance-based Rough Sets.” In Information Processing and Management of Uncertainty in Knowledge-based Systems, IPMU 2016, Pt. II, ed. JP Carvalho, MJ Lesot, U Kaymak, B BouchonMeunier, and RR Yager, 611:23–35. Cham, Switzerland: Springer.
Chicago author-date (all authors)
D’eer, Lynn, Chris Cornelis, and Yiyu Yao. 2016. “A Semantical Approach to Rough Sets and Dominance-based Rough Sets.” In Information Processing and Management of Uncertainty in Knowledge-based Systems, IPMU 2016, Pt. II, ed. JP Carvalho, MJ Lesot, U Kaymak, B BouchonMeunier, and RR Yager, 611:23–35. Cham, Switzerland: Springer.
Vancouver
1.
D’eer L, Cornelis C, Yao Y. A semantical approach to rough sets and dominance-based rough sets. In: Carvalho J, Lesot M, Kaymak U, BouchonMeunier B, Yager R, editors. Information processing and management of uncertainty in knowledge-based systems, IPMU 2016, pt. II. Cham, Switzerland: Springer; 2016. p. 23–35.
IEEE
[1]
L. D’eer, C. Cornelis, and Y. Yao, “A semantical approach to rough sets and dominance-based rough sets,” in Information processing and management of uncertainty in knowledge-based systems, IPMU 2016, pt. II, 2016, vol. 611, pp. 23–35.
@inproceedings{8507821,
  abstract     = {There exist two formulations of rough sets: the conceptual and computational one. The conceptual or semantical approach of rough set theory focuses on the meaning and interpretation of concepts, while algorithms to compute those concepts are studied in the computational formulation. However, the research on the former is rather limited. In this paper, we focus on a semantically sound approach of Pawlak's rough set model and covering-based rough set models. Furthermore, we illustrate that the dominance-based rough set model can be rephrased using this semantic approach.},
  author       = {D'eer, Lynn and Cornelis, Chris and Yao, Yiyu},
  booktitle    = {Information processing and management of uncertainty in knowledge-based systems, IPMU 2016, pt. II},
  editor       = {Carvalho, JP and Lesot, MJ and Kaymak, U and BouchonMeunier, B and Yager, RR},
  isbn         = {9783319405810},
  issn         = {1865-0929},
  keywords     = {covering-based rough sets,dominance-based rough sets,semantics,pre-order,APPROXIMATION OPERATORS},
  language     = {eng},
  pages        = {23--35},
  publisher    = {Springer},
  title        = {A semantical approach to rough sets and dominance-based rough sets},
  url          = {http://dx.doi.org/10.1007/978-3-319-40581-0_3},
  volume       = {611},
  year         = {2016},
}

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