Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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INTUITIONISTIC FUZZY IDEALS AND BI-IDEALS

  • HUR, KUL (Division of Mathematics and Informational Statistics Wonkwang University) ;
  • KIM, KWANG JIN (Dept. of Mathematics Education Woosuk University) ;
  • SONG, HYEONG KEE (Division of Mathematics and Informational Statistics Wonkwang University)
  • Received : 2004.07.06
  • Published : 2004.09.25
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Abstract

In this paper, we apply the concept of intuitionistic fuzzy sets to theory of semigroups. We give some properties of intuitionistic fuzzy ideals and intuitionistic fuzzy bi-ideals, and characterize which is left [right] simple, left [right] duo and a semilattice of left [right] simple semigroups or another type of semigroups in terms of intuitionistic fuzzy ideals and intuitionistic fuzzy bi-ideals.

Keywords

References

  1. Fuzzy Sets and Systems v.20 Intuitionistic fuzzy sets Atanassov, K.
  2. J. Fuzzy Mathematics v.11 no.1 Intuitionistic fuzzy subrings and ideals Banerjee, B.;Basnet, D. Kr.
  3. Mathematical Forum v.X Intuitionistic fuzzy subgroups Biswas, R.
  4. The Algebraic Theory of semigroups, Vol.1, Math. Surveys No. 7 Clifford, A.H.;Preston, G.B.
  5. Fuzzy Sets and Systems v.88 An introduction to intuitionistic fuzzy topological spaces Coker, D.
  6. J. Fuzzy Math. v.3 On fuzzy compactness in intuitionistic fuzzy topological spaces Coker, D.;Haydar Es, A.
  7. J. Math. Anal. Appl. v.84 Fuzzy groups and level subgroups Das, P.S.
  8. J. Fuzzy Math. v.5 On fuzzy continuity in intuitionistic fuzzy topological spaces Gurcay, H.;Coker, D.;Haydar Es, A.
  9. International Journal of Fuzzy Logic and Intelligent Systems v.3 no.1 Intuitionistic fuzzy subgroupoids Hur, K.;Jang, S.Y.;Kang, H.W.
  10. Honam Math. J. v.25 no.1 Intuitionistic fuzzy subgroups and subrings Hur, K.;Kang, H.W.;Song, H.K.
  11. Comment. Math. Univ. St. Pauli v.XXVIII-1 Fuzzy bi-ideals in semigroups Kuroki, N.
  12. Fuzzy Sets and Systems v.5 On fuzzy ideals and fuzzy bi-ideals in semigroups Kuroki, N.
  13. Acta Sei, Math. Szeged v.33 A note on semilattice of groups Lajos, S.
  14. Acta Sei, Math. Szeged v.28 On (m,n)-ideals in regular duo semigroups Lajos, S.
  15. Theorems on (1, 1)-ideals in semigroups I-II Lajos, S.
  16. Introduction to Semigroups Petrich, M.
  17. J. Math. Anal. Appl. v.35 Fuzzy groups Rosenfeld, A.
  18. Math. Japan v.18 On semigroups which are semilattices of left simple semigroups Saito, T.
  19. Inform. and Control v.8 Fuzzy sets Zadeh, L.A.