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On Topological Dominance-based Rough Set Approach

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Part of the Lecture Notes in Computer Science book series (TRS,volume 6190)

Abstract

In this article, we characterize the Dominance-based Rough Set Approach (DRSA) from the point of view of its topological properties. Using the concept of a bitopological space, we extend to DRSA the classical results known for the original rough set approach. Moreover, we introduce a topological approach to ordinal classification. These considerations intend to strengthen theoretical foundations of DRSA, giving a deeper knowledge of its specific characteristics.

Keywords

  • Closure Operator
  • Granular Computing
  • Topological Approach
  • Priestley Space
  • Interior Operator

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Greco, S., Matarazzo, B., Słowiński, R. (2010). On Topological Dominance-based Rough Set Approach. In: Peters, J.F., Skowron, A., Słowiński, R., Lingras, P., Miao, D., Tsumoto, S. (eds) Transactions on Rough Sets XII. Lecture Notes in Computer Science, vol 6190. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14467-7_2

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  • DOI: https://doi.org/10.1007/978-3-642-14467-7_2

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