Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
권호 표지
DOI QR코드

DOI QR Code

VARIOUS FRAMES AND CONNECTIONS

  • Kim, Yon Chan (Department of Mathematics Natural Science Gangneung-Wonju National University) ;
  • Ko, Jung Mi (Department of Mathematics Natural Science Gangneung-Wonju National University)
  • Received : 2012.01.03
  • Accepted : 2012.03.05
  • Published : 2012.03.30
Download PDF
⟨ Previous Next ⟩

Abstract

We investigate the properties of various frames and connections on partially ordered sets. In particular, we study the relations between various connections and various frames.

Keywords

References

  1. R. Belohlavek, Lattices of fixed points of Galois connections, Math. Logic Quart. 47 (2001), 111-116. https://doi.org/10.1002/1521-3870(200101)47:1<111::AID-MALQ111>3.0.CO;2-A
  2. G. Georgescu, A. Popescue, Non-dual fuzzy connections, Arch. Math. Logic 43 (2004), 1009-1039. https://doi.org/10.1007/s00153-004-0240-4
  3. J. Jarvinen, M. Kondo, J. Kortelainen,, Logics from Galois connections, Internat. J. Approx. Reason. 49 (2008), 595-606. https://doi.org/10.1016/j.ijar.2008.06.003
  4. Y.C. Kim, Y.S. Kim, Relations and upper sets on partially ordered sets, Int. Math. Forum 6 (19) (2011), 899-908.
  5. Ewa. Orlowska, I. Rewitzky, Algebras for Galois-style connections and their discrete duality, Fuzzy Sets and Systems 161 (2010), 1325-1342. https://doi.org/10.1016/j.fss.2009.12.013
  6. Z. Pawlak, Rough sets, Int. J. Comput. Inf. Sci. 11 (1982), 341-356. https://doi.org/10.1007/BF01001956
  7. G. Qi, W. Liu, Rough operations on Boolean algebras, Inform Sciences 173 (2005), 49-63. https://doi.org/10.1016/j.ins.2004.06.006
  8. R. Wille, Restructuring lattice theory; an approach based on hierarchies of concept, in: 1. Rival(Ed.), Ordered Sets, Reidel, Dordrecht, Boston, 1982.