Rough sets and information granulation

  • Authors:

  • James F. Peters;Andrzej Skowron;Piotr Synak;Sheela Ramanna

  • Affiliations:

  • Department of Electrical and Computer Engineering, University of Manitoba, Winnipeg, Manitoba, Canada;Institute of Mathematics, Warsaw University, Banacha, Warsaw, Poland;Polish-Japanese Institute of Information Technology, Koszykowa, Warsaw, Poland;Department of Electrical and Computer Engineering, University of Manitoba, Winnipeg, Manitoba, Canada

  • Venue:
  • IFSA'03 Proceedings of the 10th international fuzzy systems association World Congress conference on Fuzzy sets and systems
  • Year:
  • 2003

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Abstract

In this paper, the study of the evolution of approximation space theory and its applications is considered in the context of rough sets introduced by Zdzisław Pawlak and information granulation as well as computing with words formulated by Lotfi Zadeh. Central to this evolution is the rough-mereological approach to approximation of information granules. This approach is built on the inclusion relation to be a part to a degree, which generalises the rough set and fuzzy set approaches. An illustration of information granulation of relational structures is given. The contribution of this paper is a comprehensive view of the notion of information granule approximation, approximation spaces in the context of rough sets and the role of such spaces in the calculi of information granules.