ROUGH SET THEORY APPLIED TO INTUITIONISTIC FUZZY IDEALS IN RINGS

  • Jun, Young-Bae (Department of Mathematics Education, Gyeongsang National University) ;
  • Park, Chul-Hwan (Department of Mathematics, University of Ulsan) ;
  • Song, Seok-Zun (Department of Mathematics, Cheju National University)
  • Published : 2007.09.30

Abstract

This paper concerns a relationship between rough sets, intuitionistic fuzzy sets and ring theory. We consider a ring as a universal set and we assume that the knowledge about objects is restricted by an intuitionistic fuzzy ideal. We apply the notion of intutionistic fuzzy ideal of a ring for definitions of the lower and upper approximations in a ring. Some properties of the lower and upper approximations are investigated.

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