A new decision making method with uncertain induced aggregation operators

We introduce a new decision making method based on the use of uncertain induced aggregation operators, probabilities and weighted averages. We present the uncertain induced probabilistic ordered weighted averaging weighted averaging (UIPOWAWA) operator. It is a new aggregation operator that provides a parameterized family of aggregation operators between the minimum and the maximum in a unified framework between the probability, the weighted average and the induced ordered weighted averaging (IOWA) operator. Moreover, it also uses uncertain information that can be represented with interval numbers. We study some of its main properties and particular cases including the uncertain induced probabilistic OWA (UIPOWA), the uncertain induced OWA (UIOWA) and the uncertain weighted average (UWA). We also develop an application in multi-person decision making regarding the selection of fiscal policies.