A short note on algebraic T-rough sets

  • Authors:
  • B. Davvaz

  • Affiliations:
  • Department of Mathematics, Yazd University, Yazd, Iran

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2008

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Abstract

Our aim in this paper is to introduce the concept of a set-valued homomorphism for groups, which is a generalization of ordinary homomorphism. Then using the definitions of lower inverse and upper inverse, we introduce the definition of uniform set-valued homomorphism and prove that every set-valued homomorphism is uniform. Finally, the concept of probabilistic T-rough set is defined.