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On the Structure of Rough Approximations

Jouni Järvinen, On the Structure of Rough Approximations. Fundamenta Informaticae 53(2), 135–153, 2002.

Abstract:

We study rough approximations based on indiscernibility relations which are not necessarily reflexive, symmetric or transitive. For this, we define in a lattice-theoretical setting two maps which mimic the rough approximation operators and note that this setting is suitable also for other operators based on binary relations. Properties of the ordered sets of the upper and the lower approximations of the elements of an atomic Boolean lattice are studied.

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BibTeX entry:

@ARTICLE{jJarvinen02a,
  title = {On the Structure of Rough Approximations},
  author = {Järvinen, Jouni},
  journal = {Fundamenta Informaticae},
  volume = {53},
  number = {2},
  pages = {135–153},
  year = {2002},
}

Belongs to TUCS Research Unit(s): FUNDIM, Fundamentals of Computing and Discrete Mathematics

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