I've made many, many afghans over the years. The early ones I fringed but unless the design absolutely requires it to look right I don't fringe anymore.
Why? Have you ever used a Swiffer duster? If so, then you know how they will attract dust particles like a magnet. Well, so does fringe! I always ended up having to launder my fringed afghans more frequently mainly because of the dust catching fringe!!!
Now, I'll finish off the edges with a nice simple crochet border (there are some great border patterns around although a simple chain stitch works wonderfully!) or you can even use a knit stitch border. Pick up and knit two stitches. Lift first stitch over second. Pick up and knit another stitch. Lift first over second. Repeat around border. Work loosely.
This gives you a neat finishing touch without the dust catching!
Hope this helps!