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http://dx.doi.org/10.11568/kjm.2012.20.1.061

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)
Publication Information
Korean Journal of Mathematics / v.20, no.1, 2012 , pp. 61-75 More about this Journal
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
Preordered sets; lower and upper rough approximations; Galois; dual Galois; residuated and dual residuated connections and frames;
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  • Reference
1 R. Belohlavek, Lattices of fixed points of Galois connections, Math. Logic Quart. 47 (2001), 111-116.   DOI
2 G. Georgescu, A. Popescue, Non-dual fuzzy connections, Arch. Math. Logic 43 (2004), 1009-1039.   DOI
3 J. Jarvinen, M. Kondo, J. Kortelainen,, Logics from Galois connections, Internat. J. Approx. Reason. 49 (2008), 595-606.   DOI   ScienceOn
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.   DOI   ScienceOn
6 Z. Pawlak, Rough sets, Int. J. Comput. Inf. Sci. 11 (1982), 341-356.   DOI
7 G. Qi, W. Liu, Rough operations on Boolean algebras, Inform Sciences 173 (2005), 49-63.   DOI   ScienceOn
8 R. Wille, Restructuring lattice theory; an approach based on hierarchies of concept, in: 1. Rival(Ed.), Ordered Sets, Reidel, Dordrecht, Boston, 1982.