Fuzzy projection pursuits

Abstract A well-known method in data analysis to recognize patterns in multivariate point-shaped data consists in a series of projections into, usually two-dimensional, linear subspaces; this procedure is called projection pursuit. Possibly, it can be controlled by some statistically based functional of interestingness. The present paper gives a fuzzy version of this procedure, assuming fuzzy data to be handled and projections performed to rules from fuzzy theory, perhaps controlled by some measure of fuzziness.