Approximations and Rough Sets Based on Tolerances

  • Authors:
  • Jouni Järvinen

  • Affiliations:
  • -

  • Venue:
  • RSCTC '00 Revised Papers from the Second International Conference on Rough Sets and Current Trends in Computing
  • Year:
  • 2000

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Abstract

In rough set theory it is supposed that the knowledge about objects is limited by an indiscernibility relation. Commonly indiscernibility relations are assumed to be equivalences interpreted so that two objects are equivalent if we cannot distinguish them by their properties. However, there are natural indiscernibility relations which are not transitive, and here we assume that the knowledge about objects is restricted by a tolerance relation R. We study R-approximations, R-definable sets, R-equalities, and investigate briefly the structure of R-rough sets.