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Fuzzy connections and completeness in complete residuated lattices

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In this paper, we investigate the properties of fuzzy Galois (dual Galois, residuated, dual residuated) connections in a complete residuated lattice L.

Abstract

In this paper, we investigate the properties of fuzzy Galois (dual Galois, residuated, dual residuated) connections in a complete residuated lattice L.

참고문헌 (11)

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  3. R. Belohlavek, "Concept lattices and order in fuzzy logic", Ann. Pure Appl. Logic, 128, pp.277~298 (2004)
  4. J.G. Garcia, "Fuzzy Galois connections categorically", Math. Log. Q, 56(2), pp.131~147 (2010)
  5. G. Georgescu, "Non-dual fuzzy connections", Arch. Math. Logic, 43, pp.1009~1039 (2004)
  6. P. Hajek, "Metamathematices of Fuzzy Logic" (1998), Kluwer Academic Publishers Dordrecht
  7. J. Jarvinen, "Logics from Galois connections", Internat. J. Approx. Reason, 49, pp.595~606 (2008)
  8. A. Melton, "Galois connections and compter sci- ences", Leture Notes in Computer Science, 240, pp.299~312 (1986), Springer-Verlag
  9. Ewa. Orlowska, "Algebras for Galois-style connections and their dis- crete duality", Fuzzy Sets and Systems, 161, pp.1325~1342 (2010)
  10. R. Wille, "Restructuring lattice theory; an approach based on hierarchies of con- cept, In Ordered Sets" (1982), Reidel
  11. W. Yao, "Fuzzy Galois connections on fuzzy posets", Math. Log. Q, 55(1), pp.105~112 (2009)

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