DOI QR코드

DOI QR Code

ON FUZZY IMPLICATIVE FILTERS OF LATTICE IMPLICATION ALGEBRAS

Zhu, Yiquan;Zhang, Qun;Roh, Eun-Hwan

  • Published : 2003.10.01

Abstract

We investigate some related properties of fuzzy filters and fuzzy implicative filters in lattice implication algebras. We find a characterization of fuzzy filters and fuzzy implicative filters, and we discuss a relation between fuzzy filters and fuzzy implicative filters in lattice implication algebras. Also we give an extension theorem of fuzzy implicative filters.

Keywords

lattice implication algebra;lattice H implication algebra;fuzzy (implicative) filter

References

  1. Lottice Theory G.Birkhoff
  2. Scientiae Mathematicae v.2 On ultrafilters of lattice implication algebras S.Y.Kim;E.H.Roh;Y.B.Jun
  3. Chinese Science Bulletin v.42 no.18 Filters and structure of lattice implication algebra J.Liu;Y.Xu https://doi.org/10.1007/BF02882921
  4. J. Hebei Mining and Civil Engineering Institute v.3 Lattice H implication algebras and implication algebra classes Y.Xu;K.Qin
  5. Fuzzy Sets and Systems v.35 Fuzzy ideals on a distributive lattice B.Yuan;W.Wu https://doi.org/10.1016/0165-0114(90)90196-D
  6. J. of Fuzzy Math. On prime filters of lattice H implication algebras Y.Xu;K.Qin;E.H.Roh
  7. J. Fuzzy Math. Some operations on lattice implication algebras(Ⅱ) E.H.Roh;Y.Xu;Y.B.Jun
  8. Scientiae Mathematicae Japonica v.55 no.1 On Quotient residuated lattices induced by fuzzy LIA-filters E.H.Roh;Y.Xu;Z.Song;K.Qin;W.Wang
  9. J. Southwest Jiaotong University v.30 no.2 Fuzzy lattice implication algebras Y.Xu;K.Qin
  10. J. Fuzzy Math. v.6 no.4 On prime filters and decomposition theorem of lattice implication algebras J.Liu;Y.Xu
  11. Inform. Control. v.8 Fuzzy sets L.A.Zadeh https://doi.org/10.1016/S0019-9958(65)90241-X
  12. Bull. Korean Math. Soc. v.38 no.1 A note on lattice implication algebras Y.Q.Zhu;W.B.Tu
  13. Bull. Korean Math. Soc. v.34 no.2 Implicative filters of lattice implication algebras Y.B.Jun
  14. J. of Southwest Jiaotong Univ. v.28 no.1 Lattice implication algebras Y.Xu
  15. Proceedings of 5th Symposium On Multiple Valued Logic of China Homomorphisms in lattice implication algebras Y.Xu
  16. J. Fuzzy Math. v.1 On filters of lattice implication algebras Y.Xu;K.Qin
  17. International J. of Mathematics and Mathematical Sciences v.27 no.1 Some operations on lattice implication algebras E.H.Roh;S.Y.Kim;Y.Xu;Y.B.Jun https://doi.org/10.1155/S0161171201006214