A Quantitative Analysis of Preclusivity vs. Similarity Based Rough Approximations

  • Authors:
  • Gianpiero Cattaneo;Davide Ciucci

  • Affiliations:
  • -;-

  • Venue:
  • TSCTC '02 Proceedings of the Third International Conference on Rough Sets and Current Trends in Computing
  • Year:
  • 2002

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Abstract

In the context of generalized rough sets, it is possible to introduce in an Information System two different rough approximations. These are induced, respectively, by a Similarity and a Preclusivity relation ([3,4]). It is possible to show that the last one is always better than the first one. Here, we present a quantitative analysis of the relative performances of the two different approximations. The most important conclusion is that preclusive and similar approximation consistently differ when there is a low quality of approximation.