Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

ON FUZZY CLOSEDNESS IN LATTICE IMPLICATION ALGEBRAS

  • Jun, Young-Bae (Department of Mathematics Education, Gyeongsang National University) ;
  • Song, Seok-Zun (Department of Mathematics, Cheju National University) ;
  • Roh, Eun-Hwan (Department of Mathematics Education, Chinju National University of Education)
  • Published : 2003.01.01

⟨ Previous Next ⟩

Abstract

The fuzzification of ${\bigotimes}-closed$ set is considered, and its basic properties we investigated. Characterizations of fuazzy ${\bigotimes}-closed$ set we given. Using a collection of ${\bigotimes}-closed$ sets with additional conditions, a fuzzy ${\bigotimes}-closed$ set is stated. The theory of fuzzy topological ${\bigotimes}-closed$ sets is discussed.

Keywords

References

  1. Many-Valued Logic L. Bolc;P. Borowilk
  2. J. Math. Anal. Appl. v.67 Fuzzy toplogical groups D. H. Foster
  3. Synthese v.19 The logic of inexact concepts J. A. Goguen
  4. Bull. Korean Math. Soc. v.34 no.2 Implicative finters of lattice implication algebras Y. B. Jun
  5. Internat. J. Math. & Math. Sci. v.24 no.2 Fantastic filters of lattice implication algebras Y. B. Jun
  6. Internat. J. Math. & Math. Sci. v.26 no.11 On n-fold implicative filters of lattice implication algebras Y. B. Jun
  7. Fuzzy Stes and Systmes v.121 Fuzzy positive implicative and fuzzy associative of lattice implication algebras Y. B. Jun
  8. J. Fuzzy Math.(Submitted) On fuzzy implicative filters of lattice implication algebras Y. B. Jun;S. Z. Song
  9. Bulll. Korean Math. Soc. v.35 no.1 Positive implicative an associaitive filters of lattice implication algebras Y. B. Jun;Y. Xu;K. Y. Qin
  10. Scientiae Mathematicae v.2 no.2 On ultra filters of lattice implication algebras S. T. Kim;E. H. Roh;Y. B. Jun
  11. Chinese Quarterly J. Math. v.11 no.4 On certain filters in lattice implication algebras J. Liu;Y. Xu
  12. J. Lanzhou Univ. v.32 On the property (P) of lattice implication algebras J. Liu;Y. Xu
  13. Chinese Science Bulletin v.42 no.18 Filters and structure of lattice implication algebras J. Liu;Y. Xu
  14. J. Math. Anal. Appl. v.56 Fuzzy topological speaces and fuzzy compactness R. Lowen
  15. Fuzzy Sets and Systems v.45 Extensions of fuzzy subrings and fuzzy ideals D. S. Malik;J. N. Mordeson
  16. Stufia Logica v.46 no.1 First order fuzzy logic V. Novak
  17. Zeit. Math. Logik u. Grundl Math. v.25 On fuzzy logic Ⅰ,Ⅱ,Ⅲ J. Pavelka
  18. Internat. J. Math. & Math. Sci. v.27 no.1 Some Operations on lattice implication algecras E. H. Roh;S. Y. Kim;Y. Xu;Y. B. Jun
  19. J. Math. Anal. Appl. v.35 Fuzzy groups A. Rosenfeld
  20. J. Southweat Jiaotong Univ. v.1 Lattice implication algebras Y. Xu
  21. J. Hebei Mining and Civil Engineering Institute v.3 Lattice H implication algebras and lattice implication algebras classes Y. Xu;K. Y. Qin
  22. J. Fuzzy Math. v.1 no.2 On filters of lattice implication algebras Y. Xu;K. Y. Qin
  23. J. Southweat Jiaotong Univ. v.30 no.2 Fuzzy lattice implication algebras Y. Xu;K. Y. Qin