14.3. Fuzzy Operations
Fuzzy logical reasoning is a superset of standard Boolean logic. In other words, if we keep the fuzzy values at their extremes of 1 (completely true), and 0 (completely false), standard logical operations will hold. As an example, consider the standard truth tables given in Table 14.1. The binary AND, OR and NOT operations are implemented by the numeric functions min (i.e. minimum), max (i.e. maximum) and complement (i.e. 1-A), respectively. The three operations also define the fuzzy intersection or conjunction (AND), fuzzy union or disjunction (OR), and fuzzy complement (NOT) operations. It is seen from Table 14.1 that binary and fuzzy operations are identical when the variables A and B are crisp in nature.
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