http://www.science.edu.sg/ssc/detailed.jsp?artid=67&type=6&root=3&parent=3&cat=30
There are no laboratory instruments to perform the task, no absolute or even arbitrary units of sweetness. Instead we have to rely on the human tongue and the hope that if we average the findings of large numbers of tongues we can obtain useful data. The data scientists obtain will still not be in absolute units but will be expressed relative to some arbitrary standard, usually sucrose.
The above reverence agrees with my and GCT's assesment that further measurement is purely subjective (following the underlined hyperlink).
A typical way a panel assess sweetness is to make a dilution series of the solution. (10:1, 100:1, 1000:1 etc...) At some dilution, the entire panel will no longer taste any sweetness. A relative scale is constructed based on this taste test. (similarly http://www.garlic-central.com/chiles/scoville.html Units were developed to measure heat (spicey) units).