Fuzzy sets are a further development of the mathematical concept of a set. Sets were first studied formally by the Georg Cantor. Fuzzy sets was introduced by Lotfi A. Zadeh in 1965. Fuzzy set theory generalizes classical set theory to allow partial membership in the sense that the membership degree of an object to a set is not restricted to first the integers 0 and 1, but may take on any value in the interval [0,1]. A set in classical set theory always has a sharp boundary because membership in a set is a black-and-white concept, i.e., an object either completely belongs to the set or does not belong to the set at all.