Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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INTUITIONISTIC FUZZY IDEALS OF A SEMIGROUP

  • AHN, TAE-CHON (Dept. of Electrical Electronic and Information Engineering Wonkwang University) ;
  • HUR, KUL (Division of Mathematics and Informational Statistics Wonkwang University) ;
  • JANG, KYUNG-WON (Dept. of Electrical Electronic and Information Engineering Wonkwang University) ;
  • ROH, SEOK-BEOM (Dept. of Electrical Electronic and Information Engineering Wonkwang University)
  • Received : 2005.09.16
  • Accepted : 2005.11.03
  • Published : 2005.12.25
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Abstract

We give the characterization of an intuitionistic fuzzy ideal[resp. intuitionistic fuzzy left ideal, an intuitionistic fuzzy right ideal and an intuitionistic fuzzy bi-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 S. Finally, we investigate the intuitionistic fuzzy ideal generated by an intuitionistic fuzzy set in $S^1$.

Keywords

References

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