16 Chapter 1 IntroduCtIon to data MInIng
1.3.7 Fuzzy Sets for Data Mining
Most of us have had some contact with conventional logic, in which a state-
ment is either true or false with nothing in between. Although this principle
of true or false has dominated Western logic for the last 2,000 years, the idea
that things are either true or false does not apply in most cases. For example,
is the statement “I am rich” completely true or false? The answer is probably
neither true nor false since the question we need to consider is how rich is
rich. A man with a million dollars may or may not be a rich man depending
on with whom he is compared. This idea of gradations of truth is familiar to
every one of us who faces decision making of any kind. ...