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Various frames and connections

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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.

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.

참고문헌 (8)

  1. R. Belohlavek, "Lattices of xed points of Galois connections", Math. Logic Quart, 47, pp.111~116 (2001)
  2. G. Georgescu, "Non-dual fuzzy connections", Arch. Math. Logic, 43, pp.1009~1039 (2004)
  3. J. Jarvinen, "Logics from Galois connections", Internat. J. Approx. Reason, 49, pp.595~606 (2008)
  4. Y.C. Kim, "Relations and upper sets on partially ordered sets", Int. Math. Forum, 6(19), pp.899~908 (2011)
  5. Ewa. Orlowska, "Algebras for Galois-style connections and their discrete duality", Fuzzy Sets and Systems, 161, pp.1325~1342 (2010)
  6. Z. Pawlak, "Rough sets", Int. J. Comput. Inf. Sci, 11, pp.341~356 (1982)
  7. G. Qi, "Rough operations on Boolean algebras", Inform Sciences, 173, pp.49~63 (2005)
  8. R. Wille, "Restructuring lattice theory; an approach based on hierarchies of concept, In Ordered Sets" (1982), Reidel

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