Abstract
Fuzzy c-Varieties (FCV) is a tool for linear fuzzy clustering and is also applicable to local principal component analysis (local PCA). While the clustering criterion in FCV is composed of distances between data points and prototypical linear varieties, the criterion can also be defined based on least square approximation. Optimal scaling is a useful approach to multivariate analysis for mixed databases. This paper proposes two formulations of local PCA for mixed databases based on optimal scaling which include an additional step of calculating numerical scores of categorical variables.
