This note provides a characterization of α-Gini inequality measures. These measures generalize the standard Gini index by including one sensitivity parameter α, which captures different value judgments. The α-Gini measures are shown to be weakly decomposable and unit-consistent. Weak decomposition provides within-group and between-group inequalities. Unit consistency keeps unchanged the ranking of two income distributions when the income units vary. It is shown that the α-Gini measures are relevant with either "leftist" or"rightist" views. JEL Codes: D63, D31, C43