Computational Intelligence

Approx imate Reasoning 283

is a mathematical square. If a room has, for instance, 0.50 membership in the set

“warm,” it would have 0.25 membership in the set “very warm.” It is not until mem-

bership in warm = 1.0 that the element is equivalently a member of very warm. On

the other hand, the linguistic hedge “somewhat” can be implemented by taking the

square root of a membership function; thus, a room that is 0.81 “warm” (to make

an easy example) would be 0.9 “somewhat warm.” This operation generally causes a

variable’s membership in the “somewhat” set to be slightly higher than in the fuzzy

set without “somewhat.” Thus, if we ordinarily say a room ...