I have a question concerning fuzzy-clustering of feature-vectors of
different lengths. Consider you have two vectors v=(v1,...,vn) and
w=(w1,...,wm) with m < n, that is, w is shorter than v. Ordinary fuzzy-
clustering-algorithms like the FCM require the vectors to be of equal
lengths, so what possibilities do you have to equal their lengths? One
way is to enlengthen w to w'=(w1,...,wm,wm+1,...,wn), but will this
really give the a reasonable result? Another possibility would be to
apply a dynamic length normalization to both vectors in the sense of
minimizing a criteria by a dynamic programming procedure according to
Belman.
Has anybody ever solved this problem or can tell me of some good literature
about it?
Regards, Thomas