Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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Fuzzy Positive Implicative Hyper K-ideals in Hyper K-algebras

  • Jun, Young Bae (Department of Mathematics Education, Gyeongsang National University) ;
  • Shim, Wook Hwan (Department of Mathematics Education, Gyeongsang National University)
  • Published : 2003.07.30
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Abstract

The fuzzification of positive implicative hyper K-ideals in hyper K-algebras is considered, Relations between fuzzy positive implicative hyper K-ideal and fuzzy hyper K-ideal are given. Characterizations of fuzzy positive implicative hyper K-ideals are provided. Using a family of positive implicative hyper K-ideals we make a fuzzy positive implicative hyper K-ideal. Using the notion of a fuzzy positive implicative hyper K-ideal, a weak hyper K-ideal is established.

Keywords

References

  1. Bull. Korean Math. Soc. v.40 no.1 (Weak) implicative hyper K-ideals Borumand Saeid, A.;Borzoei, R.A.
  2. Math. Japonica v.52 no.1 On hyper Kalgebras Borzoei, R.A.;Hasankhani, A.;Zahedi, M.M.;Jun, Y.B.
  3. Scientiae Mathematicae Japonicae Online v.4 Positive implicative hyper K-ideals Borzoei, R.A.;Zahedi, M.M.
  4. Italian J. of Pure and Appl. Math. v.10 On strong hyper K-ideals of hyper K-algebras Jun, Y.B.;Roh, E.H.
  5. J. Fuzzy Math. Fuzzy hyper K-ideals of hyper K-algebras Jun, Y.B.;Shim, W.H.
  6. Italian J. of Pure and Appl. Math. v.8 On hyper BCK-algebras Jun, Y.B.;Zahedi, M.M.;Xin, X.L.;Borzoei, R.A.
  7. 8th Congress Math. Sur une generalization de La notion de groupe Marty, F.
  8. Information anc Control v.8 Fuzzy sets Zadeh, L.A.
  9. Scientiae Mathematicae v.3 no.1 Some results on hyper K-algebras Zahedi, M.M.;Borzoei, R.A.;Jun, Y.B.;Hasankhani, A.