DOI QR코드

DOI QR Code

FUZZY CLOSURE SYSTEMS AND FUZZY CLOSURE OPERATORS

  • Kim, Yong-Chan (Department of Mathematics Kangnung National University) ;
  • Ko, Jung-Mi (Department of Mathematics Kangnung National University)
  • 발행 : 2004.01.01

초록

We introduce fuzzy closure systems and fuzzy closure operators as extensions of closure systems and closure operators. We study relationships between fuzzy closure systems and fuzzy closure spaces. In particular, two families F(S) and F(C) of fuzzy closure systems and fuzzy closure operators on X are complete lattice isomorphic.

키워드

참고문헌

  1. J. Math. Anal. App. v.198 An extension principle for closure operators L.Biacino;G.Gerla https://doi.org/10.1006/jmaa.1996.0064
  2. Amer. Math. Soc. Lattice theory(3rd ed.) G.Birkhoff
  3. Discrete Applied Mathematics (Article in press) The lattices of closure systems, closure operators, and implicational systems on a finite set; a survey N.Caspard;B.Mongardet https://doi.org/10.1016/S0166-218X(02)00209-3
  4. International Jouranl of Approximate Reasoning v.18 MV-algebras embedded in a Cl-algebra M.K.Chakraborty;J.Sen https://doi.org/10.1016/S0888-613X(98)00007-3
  5. J. Math. Anal. Appl. v.24 Fuzzy topological spaces C.L.Chang https://doi.org/10.1016/0022-247X(68)90057-7
  6. Mathematical Logic Quarterly v.40 An extension principle for fuzzy logics G.Gerla https://doi.org/10.1002/malq.19940400306
  7. Journal of Information Sciences v.106 Extension principles for fuzzy set theory G.Gerla;L.Scarpati https://doi.org/10.1016/S0020-0255(97)10003-2
  8. Discrete Mathematics v.179 Lattices of closure operators A.Higuchi
  9. Universal of closure operators G.Gratzer https://doi.org/10.1016/S0012-365X(97)00099-X
  10. J. Math. Anal. Appl. v.106 Fuzzy closure spaces A.S.Mashhour;M.H.Ghanim https://doi.org/10.1016/0022-247X(85)90138-6
  11. Discrete mathematics v.248 Psedocomplements of closure operators on posets F.Ranzato https://doi.org/10.1016/S0012-365X(01)00191-1
  12. J. Fuzzy Math. v.2 Fuzzy closure spaces R.Srivastava;A.K.Srivastava;A.Choubey

피인용 문헌

  1. M-fuzzifying cotopological spaces and M-fuzzifying convex spaces as M-fuzzifying closure spaces vol.33, pp.1, 2017, https://doi.org/10.3233/JIFS-16661