Fuzzification

Measurement devices in technical systems provide crisp measurements, like 110.5 Volt or 31,5 °C. At first, these crisp values must be transformed into linguistic terms (fuzzy sets) . This is called fuzzification.

The membership functions of the linguistic variable speed will be determined below.

mvery low(40 km/h) = 0
mlow(40 km/h) = 0.67
mmedium(40 km/h) = 0.33
mhigh(40 km/h) = 0
mvery high(40 km/h) = 0

By fuzzification the crisp input values are transformed into fuzzy sets.
Fuzzification

Which grade of membership have those five terms for the crisp value of 40 km/h of the linguistic variable speed?