대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제15권3호
  • /
  • Pages.499-509
  • /
  • 2000
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

FUZZY Ζ-IDEALS IN IS-ALGEBRAS

  • Jun, Young-Bae (Department of Mathematics Education Gyeongsang National University) ;
  • Ahn, Sung-Shin (Department of Mathematics Education Dongguk University) ;
  • Kim, Hee-Sik (Department of Mathematics Hanyang University)
  • 발행 : 2000.09.01
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초록

In [9], the concept of fuzzy sets is applied to the theory of Ζ-ideals in a BCI-semigroup (it was renamed as an IS-algebra for the convenience of study), and a characterization of fuzzy Ζ-ideals by their level Ζ-ideals was discussed. In this paper, we study further properties of fuzzy Ζ-ideals. We prove that the homomorphic image and preimage of a fuzzy Ζ-ideal are also fuzzy Ζ-ideals.

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참고문헌

  1. J. Math. Anal. Appl. v.24 Fuzzy topological spaces C. L. Chang
  2. J. Math. Anal. Appl. v.84 Fuzzy groups and level subgroups P. S. Das
  3. Math. Japon. v.33 Characterization of BCI-algebras of order four S. K. Goel
  4. Math. Japon. v.21 Ideal theory of BCK-algebras K. Iseki;S. Tanaka
  5. Math. Japon. v.23 An introduction to the theory of BCK-algebras K. Iseki;S. Tanaka
  6. Math. Japon. v.38 Characterization of fuzzy ideals by their level ideals in BCK(BCI)-algebras Y. B. Jun
  7. Math. Japon. v.38 Closed fuzzy ideals in BCI-algebras Y. B. Jun
  8. Honam Math. J. v.15 BCI-semigroups Y. B. Jun;S. M. Hong;E. H. Roh
  9. SEA Bull. Math. v.22 Fuzzy I-ideals in BCI-semigroups Y. B. Jun;S. S. Ahn;J. Y. Kim
  10. Soochow J. Math. v.24 no.4 A class of algebras related to BCI-algebras and semigroups Y. B. Jun;X. l. Xin;E. H. Roh
  11. BCK-algebras J. Meng;Y. B. Jun
  12. J. Math. Anal. Appl. v.35 Fuzzy groups A. Rosenfeld
  13. Math. Japon. v.36 Fuzzy BCK-algebras O. G. Xi
  14. Inform. Control v.8 Fuzzy sets L. A. Zadeh