Abstract: By using the notion of fuzzy prenuclei mapping on fuzzy Quantale, we proved that the category of fuzzy Quantale was a reflective subcategory of the category of fuzzy Z-Quantale,  gave the concrete structure of the fuzzy Quantale generated by the image set of universal mapping, and discussed the fuzzy Galois connection constructed by the reflector.

Key words: reflective subcategory, fuzzy Z-Quantale, fuzzy Quantale, fuzzy Galois connection