Completion of L-fuzzy relations

It is shown that the category $\text{L}\text{?}$ of complete L-similarities on L-sets is a full reflective subcategory of $\text{R}$(L) (L-fuzzy graphs); $\text{L}\text{?}$ is equivalent to $\text{Lh}$ (L)(sheaves on L). Connections with other known “fuzzy” categories are also studied.