Ω-BIFUZZY SUBSEMIGROUPS IN SEMIGROUPS

  • HUR, KUL (Division of Mathematics and Informational Statistics Wonkwang University) ;
  • JUN, YOUNG BAE (Department of Mathematics Education Gyeongsang National University) ;
  • KANG, HEE WON (Department of Mathematics Education Woosuk University)
  • Received : 2004.12.15
  • Accepted : 2005.01.11
  • Published : 2005.03.25

Abstract

Given a set ${\Omega}$, the notion of an ${\Omega}$-bifuzzy subsemigroup in semigroups is given, and some properties are investigated. Homomorphic image and inverse image of an ${\Omega}$-bifuzzy subsemigroup are considered.

Keywords

${\Omega}$-bifuzzy set;${\Omega}$-bifuzzy subsemigroup

References

  1. Fuzzy Sets and Systems v.20 Intuitionistic fuzzy sets Atanassov, K.
  2. Fuzzy Sets and Systems v.71 Bifuzzy probabilistic sets Gerstenkorn, T.;Manko, J.
  3. Inform. Sci. On ${\Omega}-fuzzy$ subsemigroups/ideals in semigroups Hur, K.;Jun, Y.B.;Kim, H.S.
  4. Fuzzy Sets and Systems v.8 Fuzzy semiprime ideals in semigroups Kuroki, N.
  5. Inform. Sci. v.53 On fuzzy semigroups Kuroki, N.
  6. Inform. Sci. v.66 Fuzzy generalized bi-ideals in semigroups Kuroki, N.
  7. Indian J. Pure Appl. Math. v.33 no.4 Intuitionistic fuzzy ideals of semigroups Kim, K.H.;Jun, Y.B.
  8. Inform. Sci. v.74 On pointwise depiction of fuzzy regularity of semigroups Mo, Z.W.;Wang, X.P.
  9. Inform. Sci. v.74 Fuzzy congruences on semigroups Samhan, M.A.
  10. Inform. Sci. v.68 Fuzzy regular subsemigroups in semigroups Wang, X.P.;Liu, W.J.
  11. Indian J. Pure Appl. Math. v.26 no.9 Fuzzy interior ideals in semigroups Hong, S.M.;Jun, Y.B.;Meng, J.