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The properties of fuzzy connections

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We investigate the properties of fuzzy connections. We find generating functions which induce fuzzy connections. In particular, we show that their connections relate to fuzzy relations.

Abstract

We investigate the properties of fuzzy connections. We find generating functions which induce fuzzy connections. In particular, we show that their connections relate to fuzzy relations.

참고문헌 (8)

  1. R. Belohlavek, "Fuzzy Galois connections", Math. Logic Quart, 45, pp.497~504 (1999)
  2. R. Belohlavek, "Lattices of xed points of Galois connections", Math. Logic Quart, 47, pp.111~116 (2001)
  3. A. Frascella, "Fuzzy Galois connections under weak conditions", Fuzzy Sets and Systems, 172, pp.33~50 (2011)
  4. G. Georgescu, "Non-dual fuzzy connections", Arch. Math. Logic, 43, pp.1009~1039 (2004)
  5. Ewa. Orlowska, "Algebras for Galois-style connections and their discrete duality", Fuzzy Sets and Systems, 161, pp.1325~1342 (2010)
  6. Turunen, "Mathematics behind Fuzzy Logic" (1999), Physica-Verlag
  7. R. Wille, "Restructuring lattice theory; an approach based on hierarchies of concept, In Ordered Sets" (1982), Reidel
  8. W. Yao, "Fuzzy Galois connections on fuzzy posets", Math. Logic Quart, 55, pp.105~112 (2009)

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