On the relation between concept lattices for non-commutative conjunctors and generalized concept lattices

نویسندگان

  • Jesús Medina
  • Manuel Ojeda-Aciego
  • Jorge Ruiz-Calviño
چکیده

Generalized concept lattices have been recently proposed to deal with uncertainty or incomplete information as a non-symmetric generalization of the theory of fuzzy formal concept analysis. On the other hand, concept lattices have been defined as well in the framework of fuzzy logics with non-commutative conjunctors. The contribution of this paper is to prove that any concept lattice for noncommutative fuzzy logic can be interpreted inside the framewok of generalized concept lattices, specifically, it is isomorphic to a sublattice of the cartesian product of two generalized concepts lattices.

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تاریخ انتشار 2007