WIT Press


On Extending F-measure And G-mean Metrics To Multi-class Problems

Price

Free (open access)

Volume

35

Pages

10

Page Range

25 - 34

Published

2005

Size

570 kb

Paper DOI

10.2495/DATA050031

Copyright

WIT Press

Author(s)

R. P. EspĂ­ndola & N. F. F. Ebecken

Abstract

The evaluation of classifiers is not an easy task. There are various ways of testing them and measures to estimate their performance. The great majority of these measures were defined for two-class problems and there is not a consensus about how to generalize them to multiclass problems. This paper proposes the extension of the F-measure and G-mean in the same fashion as carried out with the AUC. Some datasets with diverse characteristics are used to generate fuzzy classifiers and C4.5 trees. The most common evaluation metrics are implemented and they are compared in terms of their output values: the greater the response the more optimistic the measure. The results suggest that there are two well-behaved measures in opposite roles: one is always optimistic and the other always pessimistic.

Keywords

classification, classifier evaluation, ROC graphs, AUC, F-measure,G-mean.