Whisk together ingredients for dressing, set aside.
Wash Brussels sprouts, remove any damaged or discolored leaves and trim off ends. Use a sharp knife to slice the brussels sprouts very thinly, or you can use a mandolin to do this if you prefer. You can also use a slicer attachment on a food processor if you have one.
Add brussels sprouts to a large bowl, toss with dressing. Scatter cranberries, pecans and goat cheese on top and serve.