Generalized fuzzy rough sets

  • Authors:

  • Wei-Zhi Wu;Ju-Sheng Mi;Wen-Xiu Zhang

  • Affiliations:

  • Faculty of Science, Institute for Information and System Sciences, Xi'an Jiaotong University, Xi'an, Shaan'xi 710049, PR China and Information College, Zhejiang Ocean University, Zhoushan, Zhejian ...;Faculty of Science, Institute for Information and System Sciences, Xian Jiaotong University, Xian, Shaan'xi 710049, PR China;Faculty of Science, Institute for Information and System Sciences, Xian Jiaotong University, Xian, Shaan'xi 710049, PR China

  • Venue:
  • Information Sciences—Informatics and Computer Science: An International Journal
  • Year:
  • 2003

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Abstract

This paper presents a general framework for the study of fuzzy rough sets in which both constructive and axiomatic approaches are used. In constructive approach, a pair of lower and upper generalized approximation operators is defined. The connections between fuzzy relations and fuzzy rough approximation operators are examined. In axiomatic approach, various classes of fuzzy rough approximation operators are characterized by different sets of axioms. Axioms of fuzzy approximation operators guarantee the existence of certain types of fuzzy relations producing the same operators.