Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Pointless Form of Rough Sets

  • Received : 2013.11.27
  • Accepted : 2014.05.28
  • Published : 2015.09.23
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Abstract

In this paper we introduce the pointfree version of rough sets. For this we consider a lattice L instead of the power set P(X) of a set X. We study the properties of lower and upper pointfree approximation, precise elements, and their relation with prime elements. Also, we study lower and upper pointfree approximation as a Galois connection, and discuss the relations between partitions and Galois connections.

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References

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Cited by

  1. On the category of rough sets vol.21, pp.9, 2017, https://doi.org/10.1007/s00500-016-2135-9