Concept Lattices as a Reduction Tool for Fuzzy Relation Equations.

Recently, a procedure to reduce multi-adjoint relation equations has been published. Such method relies on the strong existing link between fuzzy relation equations and concept lattices, and more specifically, it is based on attribute reduction techniques. In this paper, we illustrate the reduction mechanism for the specific case of fuzzy relation equations on a more general structure than a residuated lattice, in which an adjoint triple is considered instead of a left continuous t-norm and its residuated implication.