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In [J. Meng, X. Guo, On fuzzy ideals in BCK/BCI-algebras, Fuzzy Sets and Systems 149 (2005) 509–525], Meng and Guo gave some characterizations of Noetherian BCK/BCI-algebras by fuzzy ideals. They introduced (see Definition 6.2) the notion of the fuzzy ascending chain condition (briefly, FACC) and stated that a BCK/BCI-algebra X is Noetherian if and only if X satisfies the FACC (Theorem 6.5), but it is not true.