A comparative study of fuzzy sets and rough sets

  • Authors:
  • Y. Y. Yao

  • Affiliations:
  • Department of Computer Science, Lakehead University, Thunder Bay, Ont., Canada P7B 5E1

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 1998

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Abstract

This paper reviews and compares theories of fuzzy sets and rough sets. Two approaches for the formulation of fuzzy sets are reviewed, one is based on many-valued logic and the other is based on modal logic. Two views of rough sets are presented, set-oriented view and operator-oriented view. Rough sets under set-oriented view are closely related to fuzzy sets, which leads to non-truth-functional fuzzy set operators. Both of them may be considered as deviations of classical set algebra. In contrast, rough sets under operator-oriented view are different from fuzzy sets, and may be regarded as an extension of classical set algebra.