From Vagueness to Rough Sets in Partial Approximation Spaces

  • Zoltán Ernő Csajbók
  • Tamás Mihálydeák
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8537)


Vagueness has a central role in the motivation basis of rough set theory. Expressing vagueness, after Frege, Pawlak’s information-based proposal was the boundary regions of sets. In rough set theory, Pawlak represented boundaries by the differences of upper and lower approximations and defined exactness and roughness of sets via these differences. However, defining exactness/roughness of sets have some possibilities in general. In this paper, categories of vagueness, i.e., different kinds of rough sets, are identified in partial approximation spaces. Their formal definitions and intuitive meanings are given under sensible restrictions.


Vagueness partial approximation spaces categories of rough sets 


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© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Zoltán Ernő Csajbók
    • 1
  • Tamás Mihálydeák
    • 2
  1. 1.Department of Health Informatics, Faculty of HealthUniversity of DebrecenNyíregyházaHungary
  2. 2.Department of Computer Science, Faculty of InformaticsUniversity of DebrecenDebrecenHungary

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