On the compact computational domain of fuzzy-rough sets

  • Authors:
  • Rajen B. Bhatt;M. Gopal

  • Affiliations:
  • Control Group, Department of Electrical Engineering, Indian Institute of Technology Delhi, Hauz Khas, New Delhi 110 016, India;Control Group, Department of Electrical Engineering, Indian Institute of Technology Delhi, Hauz Khas, New Delhi 110 016, India

  • Venue:
  • Pattern Recognition Letters
  • Year:
  • 2005

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Abstract

Based on some properties of fuzzy t-norm and t-conorm operators, the concept of fuzzy-rough sets on compact computational domain has been put forward. Various mathematical properties of this new definition of fuzzy-rough sets are discussed from pattern classification viewpoint. It is established that the proposed approach identifies various patterns in the sense of fuzzy-roughness, in addition to providing deeper insight into various concepts of fuzzy-rough sets.