Fuzzy Galois connections under weak conditions

  • Authors:
  • A. Frascella

  • Affiliations:
  • Department of Mathematics “E. De Giorgi”, University of Salento, P.O. Box 193, 73100 Lecce, Italy

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2011

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Abstract

Operators that allow to transport L-sets along binary L-relations are considered, assuming L to be a quite general lattice-ordered algebra. Functoriality conditions and fuzzy Galois connections involving these operators, already known for a complete residuated lattice L, are investigated in case of complete distributive extended-order algebras that need not be commutative or associative.