We present the generalized ordered weighted logarithm averaging (GOWLA) operator based on an optimal deviation model. It is a new aggregation operator that generalizes the ordered weighted geometric averaging (OWGA) operator. This operator adds to the OWGA operator an additional parameter. controlling the power to which the arguments are raised. We further generalize the GOWLA operator and obtain the generalized ordered weighted hybrid logarithm averaging (GOWHLA) operator. We next introduce a nonlinear objective programming model for determining GOWHLA weights and an approach to group decision making based on the GOWHLA operator. Finally, we present a numerical example to illustrate the new approach in human resource management problem. © 2010 Wiley Periodicals, Inc.