First up some basic definitions
- Tagsonomy - This is a set of tagged resources, each resource has one or more "tags" which are not limited to any preset vocabulary.
- Folksonomy - A collective tagsonomy, usually the aggregate of a group of users personal tagsonomies.
- Tag Map - The structure used to represent a tagsonomy.
- Weighted Tag Map - The structure used to represent a folksonomy.
As relatively new ideas, these definitions are not used consistently across the literature. My definitions are designed to make analysing the concepts easier, but for a better understanding,
Thomas Vander Wal's definition is probably the most authoritative and
wikipedia 's definition probably represents common usage of the terms.