X, I'm not sure what word properly describes the petal edges of Trichosanthes kirilowii.
In Plant Identification Terminology" by James G. Harris et al, the word 'bearded' is defined as "bearing one or more tufts of long hairs" under a line drawing which appears to be something like a penstemon, which is a genus sometimes referred to as 'Beardtongue' (Think also of bearded iris).
'Bearded' is also an adjective used by vendors for the above linked dianthus, and in this case petal-edge "hairs" much longer than those of penstemon and iris are referenced.
The multiple, shredded petals in some cultivars of Ipomoea purpurea have been said to resemble a beard, which can be loosely translated from Japanese as "hige." (This is simplified and probably can be better explained by others.)
So, given the wide disparity in what 'bearded' can mean with respect to flowers, I don't know whether this would be a term specifically applied to Trichosanthes kirilowii, or not.
I wonder how interchangeable 'bearded' might be with other words like 'fringed' (think Lagenaria siceraria or Silene polypetala or Shortia soldanelloides) or 'laciniated' (think dahlias)?
I seem to have rambled a bit - Aren't you glad I didn't bring up 'nostril hairs'?
Hope I said something useful.
