J. Medina and M. Ojeda-Aciego (Spain)
Concept lattices, multi-adjoint lattices, Galoisconnection,implicationtriples.
Sometimes, in real applications, we have to consider the
use of non-commutative operators. However, it is in
teresting to be able to “balance” of “soften” the noncommutative character of the involved operators.
There exist some approaches to the construction of
concept lattices based on non-commutative conjunctors
L × L → L, but are based on the fact that the supports (or
carriers) of the fuzzy subsets of both objects and attributes
have to coincide.
Our contribution in this work is to present sufﬁcient
conditions in order to be able to construct concepts in a
generalized fuzzy context in which the domain of the underlying conjunctors can be L1 × L2 with L1 = L2.