A NEW CONGRUENCE RELATION ON LATTICE IMPLICATION ALGEBRAS

  • Jun, Young-Bae (Department of Mathematics Education, Gyeongsang National University) ;
  • Song, Seok-Zun (Department of Mathematics, Cheju National University)
  • Published : 2003.09.01

Abstract

Using a fuzzy filter, a new congruence relation induced by the fuzzy filter is given in lattice implication algebras, and some of their properties are investigated.

Keywords

References

  1. Bull. Korean Math. Soc. v.34 no.2 Implicative filters of lattice implication algebras Y.B.Jun
  2. J. Southwest Jiaotong Univ. v.1 Lattice implication algebras Y.Xu
  3. J. Fuzzy Math v.1 no.2 On filters of lattice implication algebras Y.Xu;K.Y.Qin
  4. J. Southwest Jiaotong Univ. v.30 no.2 Fuzzy lattice implication algebras Y.Xu;K.Y.Qin
  5. J. Fuzzy Math v.10 no.1 On the fuzzy LI-ideals and fuzzy filters of lattice implication algebras G.F.Zhao;Y.Xu;K.Y.Qin