A Note on Intuitionistic Fuzzy Ideals of Semigroup

  • Hur Kul (Division of Mathematics and Informational Statistics, Wonkwang University) ;
  • Roh Seok-Beom (Department of Electrical Electronic and Information Engineering, Wonkwang University) ;
  • Jang Kyung-Won (Department of Electrical Electronic and Information Engineering, Wonkwang University) ;
  • Ahn Tae-Chon (Department of Electrical Electronic and Information Engineering, Wonkwang University)
  • Published : 2005.11.01

Abstract

We give the characterization of an intuitionistic fuzzy ideal[resp. intuitionistic fuzzy left ideal, an intuitionistic fuzzy right ideal and an intuitionistic fuzzy hi-ideal] generated by an intuitionistic fuzzy set in a semigroup without any condition. And we prove that every intuitionistic fuzzy ideal of a semigroup S is the union of a family of intuitionistic fuzzy principle ideals of 5. Finally, we investigate the intuitionistic fuzzy ideal generated by an intuitionistic fuzzy set in $S^{1}$

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