Intro Binary Logic Fuzzy Logic Fuzzy Set Chicalm Washing Machine History Books

Playground

Rapunzel

Dido's Problem

Pythagoras

Trigonometry

Smart Joe

Fuzzy Logic

Cryptography

Mathematicians

Another way to describe reality more accurately is with the membership of fuzzy sets. The difference between a binary set and a fuzzy set is that in a "normal" set every element is either a member or a non-member of the set. Here again, we see that it either has to be A or not-A. In a fuzzy set, an element can be a member of a set to some degree and at the same time a non-member to some degree of the same set.

Let's look at an example: if we want to illustrate the set of adults using a binary set, we get a picture like the one to the right. In this picture it is assumed that a person becomes a grown-up on his or her 18th birthday. Of course someone may argue that a person becomes an adult with 21 and we'd have to change the graph. What would stay the same, however, is that every person is either adult or non-adult, in the graph 1 or 0.