Resumen: Composition of fuzzy operators often appears
and it is natural to ask when the order of compo-
sition does not change the result. In previous pa-
pers, we characterized permutability in the case
of fuzzy consequence operators and fuzzy inte-
rior operators. We also showed the connection
between the permutability of the fuzzy relations
and the permutability of their induced fuzzy op-
erators. In this work we present some examples
of permutability and non permutability of fuzzy
operators and fuzzy relations in order to illustrate
these results.