Some methodological remarks about categorical equivalences in the abstract approach to roughness – part i

  • Authors:
  • Gianpiero Cattaneo;Davide Ciucci

  • Affiliations:
  • Dipartimento di Informatica, Sistemistica e Comunicazione, Università di Milano – Bicocca, Milano, Italia;Dipartimento di Informatica, Sistemistica e Comunicazione, Università di Milano – Bicocca, Milano, Italia

  • Venue:
  • RSKT'06 Proceedings of the First international conference on Rough Sets and Knowledge Technology
  • Year:
  • 2006

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Abstract

The categorical equivalence of three different approaches to roughness is discussed: the one based on the notion of abstract rough approximation spaces, the second one based on the abstract topological notions of interior and closure, and the third one based on a very weak form of BZ lattice