On the structure of generalized rough sets

@article{Kondo2006OnTS,
  title={On the structure of generalized rough sets},
  author={Michiro Kondo},
  journal={Inf. Sci.},
  year={2006},
  volume={176},
  pages={589-600}
}
In this paper we consider some fundamental properties of generalized rough sets induced by binary relations on algebras and show that 1. Any reflexive binary relation determines a topology. 2. If h is a reflexive and symmetric relation on a set X, then O 1⁄4 fA X jh ðAÞ 1⁄4 Ag is a topology such that A is open if and only if it is closed. 3. Conversely, for every topological space ðX ;OÞ satisfying the condition that A is open if and only if it is closed, there exists a reflexive and symmetric… CONTINUE READING
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