This paper is the natural extension of Fuzzy Closure Structures as Formal
Concepts. In this paper we take into consideration the concept of closure
system which is not dealt with in the previous one. Hence, a connection
must be found between fuzzy ordered sets and a crisp ordered set. This
problem is two-fold, the core of the fuzzy orders can be considered in order
to complete the ensemble, or the crisp order can be fuzzified. Both ways are
studied in the paper. The most interesting result is, similarly to the previous
paper, that closure systems are formal concepts of these Galois connections
as well.
