The minimization of axiom sets characterizing generalized approximation operators

  • Authors:
  • Xiao-Ping Yang;Tong-Jun Li

  • Affiliations:
  • Information College, Zhejiang Ocean University, Zhoushan, Zhejiang 316004, PR China;Information College, Zhejiang Ocean University, Zhoushan, Zhejiang 316004, PR China and Institute for Information and System Sciences, Faculty of Science, Xi'an Jiaotong University, Xi'an, Shaanxi ...

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2006

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Abstract

In the axiomatic approach of rough set theory, rough approximation operators are characterized by a set of axioms that guarantees the existence of certain types of binary relations reproducing the operators. Thus axiomatic characterization of rough approximation operators is an important aspect in the study of rough set theory. In this paper, the independence of axioms of generalized crisp approximation operators is investigated, and their minimal sets of axioms are presented.