Fuzzy Logic is a mathmatical approach to solving a problem rather than a Boolean (True/False) approach. This approach to solving problems is similar to the approach we use.
For example: If you had a group of 50 individuals and you wanted to classify them as old or young you can see how the two approaches differ. In the Boolean approach anyone over a defined age, lets say 45,would be classified as old and everyone else would be young. So someone with the age 44.9 would be classified as young but at 45.0 they would become old.
Fuzzy Logic works on a sloping line. So it could say that everyone up to 40 would be considered absolutely young but from ages to 40 to 50 they would increasingly be considered more old. This comes out to define people as somewhat old or somewhat young in those years in which thier age/oldness is fuzzy.
Fuzzy Logic is used to determine a conclusion based on vague and noisey information that would be indeterminable by traditional problem solving methods. It is used to mimic human control of an application. By using a descriptive yet impercise language it deals with the data much the way a human controller would. Though it is inpercise it is still forgiving of data input and rarely needs much fine tuning.
Examples of Fuzzy Logic used for movie A.I. includes Massive Software Massive Software which was used in the Lord of the Rings Movies as well as the Chronicles of Narnia