Journal of the Korean Institute of Intelligent Systems (한국지능시스템학회논문지)

Korean Institute of Intelligent Systems (한국지능시스템학회)
권호 표지
DOI QR코드

DOI QR Code

Strong fuzzy hyperK-subalgebra

  • Kim, Y.H. (Department of Mathematics, Research Institute of Mathematical Finance, Chungbuk National University) ;
  • Oh, K.A. (Department of Mathematics, Research Institute of Mathematical Finance, Chungbuk National University) ;
  • Jeong, T.E. (Department of Mathematics, Research Institute of Mathematical Finance, Chungbuk National University)
  • Published : 2003.06.01
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we define a strong fuzzy hyperK-subalgebra and investigate between a strong fuzzy hyperK-subalgebra and a fuzzy hyperK-subalgebra. And then we give some properties of a weak homomorphism and a strong fuzzy hyperK-subalgebra.

Keywords

References

  1. R. A. Borzoei, A. Hasankhani, M. M. Zahedi and Y. B. Jun, On hyperK-algebras, Math. Japon. 52(1) (2000), 119-121.
  2. Y. B. Jun, A note of fuzzy ideals in BCK-algebras, Math. Japon. 42(2) (1995), 333-335.
  3. Y. B. Jun, On fuzzy hyperK-subalgebras of hyperK-algebras, Scientiae Mathematicae 3(1) (2000), 67-76.
  4. Y. B. Jun, X. L. Xin, E. H. Roh and M. M. Zahedi, Strong HyperBCK-ideals of hyperBCK-algebras, Math. Japon. 51 (2000), 493-498.
  5. Y. B. Jun and X. L. Xin, On fuzzy hyperBCK-ideals of hyper BCK-algebras, Fuzzy Sets and Systems (submitted).
  6. Y. B. Jun, M. M. Zahedi, X. L. Xin and R. A. Borzoei, On hyper BCK-algebras, Italian J. Pure Appl. Math. 8 (2000), 127-136.
  7. Y. B. Jun, X. L. Xin, M. M. Zahedi and R. A. Borzoei, On a hyperBCK-algebra that satisfies the hypercondition, Mathematica Japonica 52(1) (2000), 95-101.
  8. F. Marty, Sur une generalization de la notion de groupe, 8th Congress Math. Scandinaves, Stockholm (1934), 45-49.
  9. J. Neggers and H. S. Kim, A Fundamental Theorem of B-homomorphism for B-algebras, Czech. Math. J. (submitted).
  10. L. A. Zadeh, Fuzzy Sets, Information and Control 8 (1965), 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X
  11. M. M. Zahedi and A. Hasankhani, F-polygroups(I), J. Fuzzy Math. 3 (1996), 533-548.