Fuzzy Operations

Fuzzy variables can take place in operations rather like Boolean variables. The fuzzy operations are union, intersection, and complement.

The union of two fuzzy sets is defined as the maximum of the two individual functions. This corresponds to the Boolean OR function. In the diagram below, the intersection of Cold and Cool is defined by the heavy black trace.

The intersection of two fuzzy sets is defined as the minimum of there individual functions and corresponds to the Boolean AND operation. The next diagram shows the intersection between Cold and Cool sets.

The intersection is the region contained in both the Cold and Cool.

The complement of a fuzzy value is 1 – the value. This corresponds to the Boolean complement function.