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Discriminant analysis has many application fields: assigning patients to a disease, loan applicants to a risk category, potential purchasers to a market segment, and the like. The conventional discriminant problem is to determine a discriminant function, which maps a point in a multi-dimensional feature space to a point in a one-dimensional decision space, using a set of labeled points in the feature space. In many cases, attribute values of each sam-

Discriminant Analysis of Multi-Dimensional Interval Data and Its Application to Smell Sensing