L-fuzzy topologies on complete MV-algebras

  • Kim, Yong-chan (Department of Mathematics, Kangnung National University) ;
  • Ko, Jung-mi (Department of Mathematics, Kangnung National University)
  • 발행 : 2001.12.01

초록

In this paper, we introduce neighborhood systems in an L-fuzzy topology using complete MV-algebras. We investigate the relationship between L-fuzzy topologies and the neighborhood systems. We study the properties of neighborhood system.

키워드

참고문헌

  1. J. Math. Anal. Appl. v.24 Fuzzy topological spaces C. L. Chang
  2. Metamathematices of Fuzzy Logic P. Hajek
  3. J. Math. Anal. Appl. v.201 On the fundamentals of fuzzy set theory U. Hohle
  4. Mathematics of fuzzy sets U. Hohle;S. E. Rodabaugh
  5. J. Korea Fuzzy Logic and Intelligent Systems v.11 no.3 Some properties of BL-algebras J. M. Ko;Y. C. Kim
  6. Fuzzy topology Liu Ying-Ming;Luo Mao-Kang
  7. Fuzzy Sets and Systems v.31 Pictorial representations of fuzzy connectives Ⅰ M. Mizumoto
  8. J. Math. Anal. Appl. v.76 Fuzzy topology Ⅰ;Neighborthood structures of a fuzzy point and Moore-Smith convergence Pu Pao-Ming;Liu Ying-Ming
  9. Fuzzy Sets and Systems v.52 Algebraic structures in fuzzy logic E. Turunen
  10. Mathematics behind fuzzy logic E. Turunen
  11. Fuzzy Sets and Systems v.30 Pointwise topology on completely distributive lattices Wang Guo-Jun
  12. Transactions of American Mathematical Society v.45 Residuated lattices M. Ward;R. P. Dilworth
  13. Fuzzy sets and Systems v.11 A general concept of fuzzy connectives, negations and implications based on t-norms and t-conorms S. Weber
  14. Fuzzy sets and Systems v.4 On a general class of fuzzy connectives R. R. Yager
  15. Fuzzy sets and Systems v.68 On the method of neighborhood systems in fuzzy topology M. S. Ying