We develop a new financial decision making approach by using induced and probabilistic generalized aggregation operators. We introduce the induced generalized probabilistic ordered weighted averaging distance (IGPOWAD) operator and some of its main properties. Its main advantage is that it uses distance measures in a unified framework between the probability and the OWA operator where we can consider the degree of importance of each concept in the aggregation. Moreover, it also uses order-inducing variables that represent complex reordering processes in the aggregation. We develop an application of this new approach in a financial multi-person decision making problem regarding the selection of financial strategies. We see that the opinion of several experts provides more robust information for the decision maker.