Notes on fuzzy Godel ideals of BL-algebras

In this paper, we first display some characterizations of Godel ideals in BL-algebras by the pseudo implication operation, then point out that the assertion “a fuzzy Godel ideal of BL-algebras is not a fuzzy Boolean ideal in general” in a previous paper by Meng and Xin is incorrect, by routine computation. Finally, we prove that a fuzzy ideal is a fuzzy Godel ideal if and only if it is a fuzzy Boolean ideal in BL-algebras.