Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
권호 표지
DOI QR코드

DOI QR Code

ON FUZZY IMPLICATIVE FILTERS OF LATTICE IMPLICATION ALGEBRAS

  • Zhu, Yiquan (Department of Mathematics Zhaoqing University) ;
  • Zhang, Qun (College of computers science South-Central University for Nationalities Wuhan) ;
  • Roh, Eun-Hwan (Department of Mathematics Education Chinju National University of Education)
  • Published : 2003.10.01
Download PDF
⟨ Previous Next ⟩

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

References

  1. Lottice Theory G.Birkhoff
  2. Bull. Korean Math. Soc. v.34 no.2 Implicative filters of lattice implication algebras Y.B.Jun
  3. Scientiae Mathematicae v.2 On ultrafilters of lattice implication algebras S.Y.Kim;E.H.Roh;Y.B.Jun
  4. Chinese Science Bulletin v.42 no.18 Filters and structure of lattice implication algebra J.Liu;Y.Xu https://doi.org/10.1007/BF02882921
  5. J. Fuzzy Math. v.6 no.4 On prime filters and decomposition theorem of lattice implication algebras J.Liu;Y.Xu
  6. 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
  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. Proceedings of 5th Symposium On Multiple Valued Logic of China Homomorphisms in lattice implication algebras Y.Xu
  10. J. of Southwest Jiaotong Univ. v.28 no.1 Lattice implication algebras Y.Xu
  11. J. Hebei Mining and Civil Engineering Institute v.3 Lattice H implication algebras and implication algebra classes Y.Xu;K.Qin
  12. J. Fuzzy Math. v.1 On filters of lattice implication algebras Y.Xu;K.Qin
  13. J. Southwest Jiaotong University v.30 no.2 Fuzzy lattice implication algebras Y.Xu;K.Qin
  14. J. of Fuzzy Math. On prime filters of lattice H implication algebras Y.Xu;K.Qin;E.H.Roh
  15. 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
  16. Inform. Control. v.8 Fuzzy sets L.A.Zadeh https://doi.org/10.1016/S0019-9958(65)90241-X
  17. Bull. Korean Math. Soc. v.38 no.1 A note on lattice implication algebras Y.Q.Zhu;W.B.Tu