Some illustrative examples of permutability of fuzzy operators and fuzzy relations

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.