  Property A is a geometric property originally introduced for discrete metric
spaces to provide a sufficient condition for coarse embeddability into Hilbert
space, and it is defined via a F\o{}lner condition similar in spirit to the
classical notion of amenability for groups. In this paper, we define property A
for fuzzy metric spaces in the sense of George and Veeramani, show that it is
an invariant in the coarse category of fuzzy metric spaces, and provide
characterizations of it for uniformly locally finite fuzzy metric spaces. We
also show that uniformly locally finite fuzzy metric spaces with property A are
coarsely embeddable into Hilbert space.

General Topology