It would help a great deal if we had more info.
Tank size?
Tank mates?
Water conditions(pH, ammonia, nitrite, nitrates, temp)?
Filtration?
Last water change and how much?
What do you feed?
What kind of fish?
Any aggression?
The more we know the better we can help. To answer your question...It could be a few things, like fungus, other tank mates nibbling or poor water quality. Does the chewed down part look fuzzy?