It's a multi valued logic.

In Boolean logic is two valued logic,where we will say

an element belongs to a set with membership 1, if it

doesn't belongs to the set then it's membership is 0.

Where as in fuzzy sets we say degree of membership

between 0 and 1.

For example,we have a set of men age.

In Boolean logic a person X aged 51 we will say x is old

and a person Y aged 49 we will say young.

In fuzzy logic we say X belongs to the old men set with a

membership of 0.51 and to young men set with a membership of

0.49

So Boolean logic is our Black&White TV where as Fuzzy logic

is Color TV Fuzzy logic is a Discrete spectrum of values.