Generalized ordered weighted logarithmic harmonic averaging operators and their applications to group decision making

We present a new aggregation operator called the generalized ordered weighted logarithmic harmonic averaging (GOWLHA) operator, which is based on an optimal deviation model. We study some properties and different particular cases of the GOWLHA operator. We also generalize the GOWLHA operator. The key advantage of the GOWLHA operator is that it is an aggregation operator with theoretic basis on aggregation. Moreover, we indicate some properties of the GOWLHA operator weights and propose an orness measure of the GOWLHA operator. Furthermore, we introduce the generalized least squares method to determine the GOWLHA operator weights based on its orness measure. In the end, we develop an application of the new approach in a case of group decision making in political management.