Abstract— This paper develops a new operator called the generalized ordered weighted power utility averaging (GOWPUA) operator, which first introduces the risk attitude of decision makers (DMs) in the aggregation process. We study its properties and families. To determine the GOWPUA operator weights, we put forward an orness measure of the GOWPUA operator and analyze its properties. Considering that different DMs may have different perspectives towards decision-making, which can be characterized by different degrees of orness, we construct a new nonlinear optimization model to determine the optimal weights which can aggregate all the individual sets of weights into an overall set of weights. Finally, based on the GOWPUA operator, a method for multiple attribute group decision-making (MAGDM) is developed.
Keywords— Multiple attribute group decision-making, Aggregation operator, Utility function, Orness.
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