A comparison of two kinds of definitions of rough approximations based on a similarity relation

  • Authors:

  • E. A. Abo-Tabl

  • Affiliations:

  • Mathematics Department, Faculty of Science, Assiut University, Assiut, Egypt and Department of Mathematics, Faculty of Science and Arts, Al-mithnab, Qassim University, P.O. Box 931, Buridah 51931, ...

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2011

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Abstract

In the present paper, we investigate the three types of Yao's lower and upper approximations of any set with respect to any similarity relation. These types based on a right neighborhood. Also, we define and investigate other three types of approximations for any similarity relations. These new types based on the intersection of the right neighborhoods. Moreover, we give a comparison between these types. Lastly, the relationship between these definitions is introduced.