A general frame for intuitionistic fuzzy rough sets

  • Authors:

  • Xiaohong Zhang;Bing Zhou;Peng Li

  • Affiliations:

  • Department of Mathematics, College of Arts and Sciences, Shanghai Maritime University, Shanghai 201306, PR China;Department of Computer Science, University of Regina, Regina, Saskatchewan, Canada S4S 0A2;Department of Mathematics, Ningbo University, Ningbo 315211, Zhejiang Province, PR China

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2012

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Abstract

Intuitionistic fuzzy rough sets are investigated in a general framework which includes generalizations of many related results in early literatures. A new definition of intuitionistic fuzzy rough sets is given with the analysis of its basic properties based on the notion of two universes, general binary relations, and a pair (T, I) of intuitionistic fuzzy t-norm T and intuitionistic fuzzy implicator I. For t-representable intuitionistic fuzzy t-norms and its residual implicators, intuitionistic fuzzy rough approximation operators are defined by axioms, and its connections with special intuitionistic fuzzy relations are investigated.