Training of a fuzzy classifier with polyhedral regions

We discuss a fuzzy classifier with polyhedral regions. First, we generate an initial convex hull with the maximum dimension using the data, included in a class, in the general positions. Next, we modify the convex hull using one training datum at a time by the dynamic convex hull generation method. Finally, for each convex hull we define a membership function using the minimum operator and tune the slopes of the membership functions using the training data. We demonstrate the effectiveness of our method using two benchmark data sets