Programming Game AI by Example

Fuzzy Sets

Crisp sets are useful but problematic in many situations. For instance, let’s

examine the universe of discourse of all IQs, and let’s define sets for

Dumb, Average, and Clever like so:

Dumb = {70, 71, 72, … 89}

Average = {90, 91, 92, … 109}

Clever = {110, 111, 112, … 129}

A graphical way of showing these crisp sets is shown in Figure 10.3. Note

how the degree of membership of an element in any of the sets can be

either 1 or 0.

People’s intelligence can now be categorized by assigning them to one of

these sets based upon their IQ score. Clearly though, a person with an IQ of

109 is well above average intelligence and probably the majority of his ...