There has been much research in recent decades on character recognitio
n methods, and some methods have already been put into practical use.
There are many unresolved problems, however, with respect to handwritt
en character recognition as composed with printed character recognitio
n. The authors considered discriminant functions, which constitute the
most important part of a character recognition method. As a result of
considering problems of conventional statistical discriminant functio
ns, the authors propose applying the fuzzy theory to discriminant func
tions. The so-called fuzzy discriminant function is capable of represe
nting a data distribution in a more flexible manner because it consist
s of membership functions on the principal axes of learning samples. T
he authors conducted recognition experiments for handwritten character
s with two types of membership functions. In one type the membership v
alues are directly tuned based on human experiences; in the other they
are derived from histograms or statistical data. With the former memb
ership function, the recognition rate of 99.0 percent is achieved for
'numeric' characters from the handwritten alphanumeric data base ETL6,
and with the latter, the rate of 96.0 percent for 'hiragana' characte
rs from handwritten educational 'kanji' data base ETL8. This result pr
oves the effectiveness of the fuzzy discriminant function. It also ind
icates that a dynamic combination of human experiences and statistical
techniques is a key to practical systems.